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Worksheets

Negative Exponents

Total questions: 128

Worksheet time: 6hrs 24mins

Name
Class
Date
1.

6−26^{-2}  

a)

−6-6  

b)

−36-36  

c)

136\frac{1}{36}  

d)

3636  

2.

x−4y−3\frac{x^{-4}}{y^{-3}}  

a)

y3x4\frac{y^3}{x^4}  

b)

x4y3\frac{x^4}{y^3}  

c)

y−3x−4\frac{y^{-3}}{x^{-4}}  

3.

(a−3b4c)−2\left(a^{-3}b^4c\right)^{-2}  

a)

c2a6b8\frac{c^2}{a^6b^8}  

b)

b8a6c2\frac{b^8}{a^6c^2}  

c)

a6b8c2\frac{a^6}{b^8c^2}  

4.

−12m4n−3p−2-12m^4n^{-3}p^{-2}  

a)

−12n3P2m4\frac{-12n^3P^2}{m^4}  

b)

−12m4n4p2\frac{-12}{m^4n^4p^2}  

c)

m4−12n3p2\frac{m^4}{-12n^3p^2}  

d)

−12m4n3p2\frac{-12m^4}{n^3p^2}  

5.

x9⋅x−7⋅x−10x^9\cdot x^{-7}\cdot x^{-10}  

a)

x8x^8  

b)

1x8\frac{1}{x^8}  

c)

x26x^{26}  

d)

1x26\frac{1}{x^{26}}  

6.

6g−3⋅2g86g^{-3}\cdot2g^8  

a)

12g3\frac{12}{g^3}  

b)

12g5\frac{12}{g^5}  

c)

12g512g^5  

d)

12g1112g^{11}  

7.

(j−1k)−3⋅(j−5k4)2\left(j^{-1}k\right)^{-3}\cdot\left(j^{-5}k^4\right)^2  

a)

k5j7\frac{k^5}{j^7}  

b)

j7k5\frac{j^7}{k^5}  

c)

j13k11j^{13}k^{11}  

d)

j7k5j^7k^5  

8.

d−4(a−6b3)3\frac{d^{-4}}{\left(a^{-6}b^3\right)^3}  

a)

a18b9d4\frac{a^{18}b^9}{d^4}  

b)

d4a18b9\frac{d^4}{a^{18}b^9}  

c)

a18b9d4\frac{a^{18}}{b^9d^4}  

9.

y4⋅y−4y^4\cdot y^{-4}  

a)

11  

b)

00  

c)

y8y^8  

d)

y16y^{16}  

10.

(x−4y6z2)−3\left(\frac{x^{-4}y^6}{z^2}\right)^{-3}  

a)

x12z6y18\frac{x^{12}z^6}{y^{18}}  

b)

y18x12z6\frac{y^{18}}{x^{12}z^6}  

c)

z6x12y18\frac{z^6}{x^{12}y^{18}}  

d)

x12z6y18\frac{x^{12}}{z^6y^{18}}  

11.

000^0  

a)

0

b)

undefined

c)

1

12.

7−107^{-10}  Rewrite using a positive exponent.

a)

1710\frac{1}{7^{10}}  

b)

7107^{10}  

c)

17−10\frac{1}{7^{-10}}  

d)

−70-70  

13.

(−5)−4\left(-5\right)^{-4}  Rewrite using a positive exponent.

a)

(−5)4\left(-5\right)^4  

b)

1(−5)−4\frac{1}{\left(-5\right)^{-4}}  

c)

1(−5)4\frac{1}{\left(-5\right)^4}  

d)

−625-625  

14.

g−7g^{-7}  Rewrite using a positive exponent.

a)

1g7\frac{1}{g^7}  

b)

g7g^7  

c)

1g−7\frac{1}{g^{-7}}  

d)

−g7-g^7  

15.

Rewrite using a positive exponent.
w−13w^{-13}  

a)

−w13-w^{13}  

b)

1w13\frac{1}{w^{13}}  

c)

1w−13\frac{1}{w^{-13}}  

d)

w13w^{13}  

16.

x⁻⁶

a)

1x6\frac{1}{x^6}

b)

x6x^6

c)

−x6-x^6

d)

−1x6-\frac{1}{x^6}

17.

Write an equivalent expression for x−3x^{-3} using a positive exponent.

a)

1x3\frac{1}{x^3}  

b)

−3x-3x  

c)

3x\frac{3}{x}  

d)

x3x^3  

18.

Write an equivalent expression for 2−12^{-1}  

a)

12\frac{1}{2}  

b)

11\frac{1}{1}  

c)

−11\frac{-1}{1}  

d)

−12\frac{-1}{2}  

19.
Simplify (-9)0

a)
-9
b)
-1
c)
1
d)
9
20.

Write an equivalent expression for h−8h^{-8} using a positive exponent.

a)

1h8\frac{1}{h^8}  

b)

−8h-8h  

c)

8h\frac{8}{h}  

d)

h8h^8  

21.

Rewrite using a positive exponent.
y−22y^{-22}  

a)

−y22-y^{22}  

b)

1y22\frac{1}{y^{22}}  

c)

1y−22\frac{1}{y^{-22}}  

d)

y22y^{22}  

22.

Rewrite so that there are no negative exponents in your final answer:

6−46^{-4}  

a)

−64-6^4  

b)

164\frac{1}{6^4}  

c)

146\frac{1}{4^6}  

d)

−46-4^6  

23.

Rewrite so that there are no negative exponents in your final answer:

113−8\frac{1}{13^{-8}}  

a)

1138\frac{1}{13^8}  

b)

1−138\frac{1}{-13^8}  

c)

13813^8  

d)

−138-13^8  

24.

Simplify the expression so that there are no negative exponents in your final answer.

13k−6\frac{13}{k^{-6}}

a)

−13k6-\frac{13}{k^6}  

b)

−13k6-13k^6  

c)

113k6\frac{1}{13k^6}  

d)

13k613k^6  

25.

Simplify the expression so that there are no negative exponents in your final answer.

4r2r9\frac{4r^2}{r^9}  

a)

4r74r^7  

b)

4r7\frac{4}{r^7}  

c)

r74\frac{r^7}{4}  

d)

4r114r^{11}  

26.

Simplify the expression so that there are no negative exponents in your final answer.

7d−9d3\frac{7d^{-9}}{d^3}  

a)

17d12\frac{1}{7d^{12}}  

b)

7d12\frac{7}{d^{12}}  

c)

17d6\frac{1}{7d^6}  

d)

7d67d^6  

27.

Simplify the expression so that there are no negative exponents in your final answer.

q3r10q16r5\frac{q^3r^{10}}{q^{16}r^5}  

a)

r5q13\frac{r^5}{q^{13}}  

b)

q13r5\frac{q^{13}}{r^5}  

c)

q13r5q^{13}r^5  

d)

q19r15q^{19}r^{15}  

28.

 Simplify the expression so that there are no negative exponents in your final answer.

a−14⋅b17⋅a8a^{-14}\cdot b^{17}\cdot a^8

a)

a22b17a^{22}b^{17}  

b)

a6b17\frac{a^6}{b^{17}}  

c)

a6b17a^6b^{17}  

d)

b17a6\frac{b^{17}}{a^6}  

29.

Simplify the expression so that there are no negative exponents in your final answer.

y5x−2x−3y−8\frac{y^5}{x^{-2}x^{-3}y^{-8}}   

a)

x5y13\frac{x^5}{y^{13}}  

b)

y13x5\frac{y^{13}}{x^5}  

c)

x5y13x^5y^{13}  

d)

x6y3x^{6^{ }}y3  

30.

Simplify the expression so that there are no negative exponents in your final answer.

xy−2y−6x−3\frac{xy^{-2}y^{-6}}{x^{-3}}  

a)

x4y8\frac{x^4}{y^8}  

b)

y8x4\frac{y^8}{x^4}  

c)

x2y4\frac{x^2}{y^4}  

d)

x2y8\frac{x^2}{y^8}  

31.

145=\frac{1}{4^5}=  

a)

120\frac{1}{20}  

b)

451\frac{4^5}{1}  

c)

1−9\frac{1}{-9}  

d)

4−54^{-5}  

32.

3−(−2)3^{-\left(-2\right)}  

Choose all the expressions equivalent to

a)

13(−2)\frac{1}{3^{\left(-2\right)}}  

b)

132\frac{1}{3^2}  

c)

1132\frac{1}{\frac{1}{3^2}}  

d)

321\frac{3^2}{1}  

33.

Simplify.  x−7x^{-7}  

a)

1x−7\frac{1}{x^{-7}}  

b)

x7x^7  

c)

1x7\frac{1}{x^7}  

d)

x7\frac{x}{7}  

34.

Simplify.  10−310^{-3}  

a)

103\frac{10}{3}  

b)

11000\frac{1}{1000}  

c)

10001000  

d)

10−3\frac{10}{-3}  

35.

Simplify.   1x−12\frac{1}{x^{-12}}  

a)

12x\frac{12}{x}  

b)

x−12x^{-12}  

c)

1x12\frac{1}{x^{12}}  

d)

x12x^{12}  

36.

Simplify.   12−2\frac{1}{2^{-2}}  

(a)  

37.

Simplify.   x−4x3\frac{x^{-4}}{x^3}  

a)

1x7\frac{1}{x^7}  

b)

x7x^7  

c)

x3x4\frac{x^3}{x^4}  

38.

Rewrite using a positive exponent.

g−7g^{-7}  

a)

1g7\frac{1}{g^7}  

b)

g7g^7  

c)

1g−7\frac{1}{g^{-7}}  

d)

−g7-g^7  

39.

Rewrite using a positive exponent.

1g−7\frac{1}{g^{-7}}  

a)

1g7\frac{1}{g^7}  

b)

g7g^7  

c)

1g−7\frac{1}{g^{-7}}  

d)

−g7-g^7  

40.

Rewrite using a positive exponent.

5g−75g^{-7}  

a)

5g7\frac{5}{g^7}  

b)

5g75g^7  

c)

5g−7\frac{5}{g^{-7}}  

d)

15g7\frac{1}{5g^7}  

41.

Rewrite using a positive exponent.

5g−7km5g^{-7}km  

a)

5kmg7\frac{5km}{g^7}  

b)

5g7km5g^7km  

c)

5g−7km\frac{5}{g^{-7}km}  

d)

15g7km\frac{1}{5g^7km}  

42.

Rewrite with the variable having a negative exponent.

6g−2\frac{6}{g^{-2}}  

a)

6g26g^2  

b)

6g−26g^{-2}  

c)

6g2\frac{6}{g^2}  

d)

16g2\frac{1}{6g^2}  

43.

Simplify

a)

−116-\frac{1}{16}

b)

116\frac{1}{16}

c)

-16

d)

16

44.

Simplify

a)

−16-\frac{1}{6}

b)

16\frac{1}{6}

c)

6

d)

-6

45.

Simplify

a)

7a5b3\frac{7a^5}{b^3}

b)

b37a5\frac{b^3}{7a^5}

c)

7b3a−5\frac{7b^3}{a^{-5}}

d)

7b3a5\frac{7b^3}{a^5}

46.

Simplify

a)

−1125-\frac{1}{125}

b)

125

c)

-125

d)

1125\frac{1}{125}

47.

Simplify

a)

54\frac{5}{4}

b)

45\frac{4}{5}

c)

−45-\frac{4}{5}

d)

−54-\frac{5}{4}

48.

Simplify

a)

−127-\frac{1}{27}

b)

127\frac{1}{27}

c)

19\frac{1}{9}

d)

−19-\frac{1}{9}

49.

Simplify

a)

-1

b)

1

c)

17\frac{1}{7}

d)

−17-\frac{1}{7}

50.

Simplify

a)

15x3\frac{1}{5x^3}

b)

1x5\frac{1}{x^5}

c)

−5x3-\frac{5}{x^3}

d)

5x3\frac{5}{x^3}

51.

Simplify

a)

a3b24\frac{a^3b^2}{4}

b)

4a3b2\frac{4a^3}{b^2}

c)

4a3b2\frac{4}{a^3b^2}

d)

14a3b2\frac{1}{4a^3b^2}

52.

Simplify

a)

-1

b)

132\frac{1}{32}

c)

−132-\frac{1}{32}

d)

1

53.

Simplify

a)

−164-\frac{1}{64}

b)

116\frac{1}{16}

c)

641\frac{64}{1}

d)

164\frac{1}{64}

54.

Simplify using only positive exponents:

−(6)−1-\left(6\right)^{-1}  

a)

  −16-\frac{1}{6}  

b)

16\frac{1}{6}  

c)

6

d)

-6

55.

Simplify:

(87)−2\left(\frac{8}{7}\right)^{-2}  

a)

49/64

b)

64/49

c)

14/16

d)

16/14

56.

Simplify using only positive exponents:

x−7x^{-7}  

a)

-7

b)

-7x

c)

1x7\frac{1}{x^7}

d)

−1x7-\frac{1}{x^7}  

57.

Simplify using only positive exponents:

2w−132w^{-13}  

a)

−w13-w^{13}  

b)

2w13\frac{2}{w^{13}}  

c)

12w13\frac{1}{2w^{13}}  

d)

  2w132w^{13}  

58.

 Simplify using only positive exponents:

7a−5b37a^{-5}b^3

a)

  7a5b3\frac{7a^5}{b^3}  

b)

  b37a5\frac{b^3}{7a^5}  

c)

7a5b3\frac{7}{a^5b^3}  

d)

  7b3a5\frac{7b^3}{a^5}  

59.

Simplify using only positive exponents:

x−5⋅x−2x^{-5}\cdot x^{-2}  

a)

x−3x^{-3}  

b)

  1x7\frac{1}{x^7}  

c)

  x−7x^{-7}  

d)

x10x^{10}  

60.

Simplify using only positive exponents:

n−4n−1n^{-4}n^{-1}  

a)

1n5\frac{1}{n^5}  

b)

1n3\frac{1}{n^3}  

c)

n4n^4  

d)

12n4\frac{1}{2n^4}  

61.

Simplify using only positive exponents:

y−6y−10\frac{y^{-6}}{y^{-10}}  

a)

y60y^{60}  

b)

1y16\frac{1}{y^{16}}  

c)

  1y4\frac{1}{y^4}  

d)

y4y^4  

62.

Simplify using only positive exponents:

2n−2⋅2n2n^{-2}\cdot2n  

a)

4n\frac{4}{n}  

b)

4n4n  

c)

14n\frac{1}{4n}  

d)

None of the above

63.

Simplify using only positive exponents:

3a−4⋅2a3a^{-4}\cdot2a  

a)

6a−46a^{-4}  

b)

5a−3\frac{5}{a^{-3}}  

c)

6a3\frac{6}{a^3}  

d)

16a3\frac{1}{6a^3}  

64.

Simplify using only positive exponents:

12−3⋅1210⋅12012^{-3}\cdot12^{10}\cdot12^0  

a)

1127\frac{1}{12^7}  

b)

12712^7  

c)

  12812^8  

d)

1

65.

Simplify using only positive exponents:

m−6n−3m−13n−1\frac{m^{-6}n^{-3}}{m^{-13}n^{-1}}   

a)

m7n2\frac{m^7}{n^2}  

b)

  n2m7\frac{n^2}{m^7}  

c)

  m19n4\frac{m^{19}}{n^4}  

d)

  1m19n4\frac{1}{m^{19}n^4}  

66.

Write each expression 

using a positive exponent.


2−32^{-3}  

a)

1−6\frac{1}{-6}  

b)

123\frac{1}{2^3}  

c)

−18-\frac{1}{8}  

d)

−123-\frac{1}{2^3}  

67.

Write the expression using a positive exponent.

m−4m^{-4}  

a)

1m4\frac{1}{m^4}  

b)

−m4-m^4  

c)

1−m4\frac{1}{-m^4}  

d)

1m−4\frac{1}{m^{-4}}  

68.

Evaluate (get a numeric answer)

17017^0  

a)

17

b)

0

c)

1

d)

-17

69.

Evaluate.

3−23^{-2}  

a)

−6-6  

b)

19\frac{1}{9}  

c)

−9-9  

d)

16\frac{1}{6}  

70.

Write the expression using an exponent

(−4)(−4)(−4)(−4)(−4)\left(-4\right)\left(-4\right)\left(-4\right)\left(-4\right)\left(-4\right)  

a)

−45-4^5  

b)

(−4)4\left(-4\right)^4  

c)

(−4)5\left(-4\right)^5  

d)

4−44^{-4}  

71.

Evaluate.

434^3  

a)

64

b)

16

c)

12

d)

4

72.

Write the fraction using a negative exponent.

164\frac{1}{64}  

a)

8−28^{-2}  

b)

(−8)2\left(-8\right)^2  

c)

828^2  

d)

182\frac{1}{8^2}  

73.

Write the expression using a positive exponent.

(−2)−3\left(-2\right)^{-3}  

a)

(−2)3\left(-2\right)^3  

b)

1(−2)3\frac{1}{\left(-2\right)^3}  

c)

232^3  

d)

123\frac{1}{2^3}  

74.

Evaluate the expression if
x = 3, y = –2, and z = 4.

 y−2y^{-2}  

a)

14\frac{1}{4}  

b)

−14-\frac{1}{4}  

c)

12\frac{1}{2}  

d)

−12-\frac{1}{2}  

75.

Evaluate the expression
if x = 3, y = –2, and z = 4.

3z−13z^{-1}  


a)

112\frac{1}{12}  

b)

43\frac{4}{3}  

c)

−112-\frac{1}{12}  

d)

34\frac{3}{4}  

76.

(x2y−3)2(x−2y7)3\frac{\left(x^2y^{-3}\right)^2}{\left(x^{-2}y^7\right)^3}  

a)

x10y27\frac{x^{10}}{y^{27}}  

b)

y27x10\frac{y^{27}}{x^{10}}  

c)

x10y27x^{10}y^{27}  

d)

1x10y27\frac{1}{x^{10}y^{27}}  

77.

a−3b8c−5\frac{a^{-3}b^8}{c^{-5}}  

a)

c5a3b8\frac{c^5}{a^3b^8}  

b)

b8a3c5\frac{b^8}{a^3c^5}  

c)

b8c5a3\frac{b^8c^5}{a^3}  

d)

a3b8c5\frac{a^3b^8}{c^5}  

78.

r−5t−3q7\frac{r^{-5}t^{-3}}{q^7}  

a)

1q7r5t3\frac{1}{q^7r^5t^3}  

b)

t3q7r5\frac{t^3}{q^7r^5}  

c)

r5q7t3\frac{r^5}{q^7t^3}  

d)

q7r5t3\frac{q^7}{r^5t^3}  

79.

(−5x7y92x−9y11)0\left(\frac{-5x^7y^9}{2x^{-9}y^{11}}\right)^0  =

(a)  

80.

5g−2h5(g−2h3)2\frac{5g^{-2}h^5}{\left(g^{-2}h^3\right)^2}  

a)

5hg2\frac{5h}{g^2}  

b)

5g2h\frac{5}{g^2h}  

c)

5g2h5g^2h  

d)

5g2h\frac{5g^2}{h}  

81.

(2m2n3)2(3m−2n4)−2\frac{\left(2m^2n^3\right)^2}{\left(3m^{-2}n^4\right)^{-2}}  

a)

4mn149\frac{4mn^{14}}{9}  

b)

36n1436n^{14}  

c)

36n14\frac{36}{n^{14}}  

d)

4n149m\frac{4n^{14}}{9m}  

82.

−35a3b−2c7a−2b5c3\frac{-35a^3b^{-2}c}{7a^{-2}b^5c^3}  

a)

−5c2a5b7\frac{-5c^2}{a^5b^7}  

b)

−5b7a5c2\frac{-5b^7}{a^5c^2}  

c)

−5a5b7c2\frac{-5a^5}{b^7c^2}  

d)

−5a5b7c2\frac{-5}{a^5b^7c^2}  

83.

42x3y−26x−1y4\frac{42x^3y^{-2}}{6x^{-1}y^4}  

a)

7y6x4\frac{7y^6}{x^4}  

b)

7x4y6\frac{7x^4}{y^6}  

c)

6y6x4\frac{6y^6}{x^4}  

d)

6x4y6\frac{6x^4}{y^6}  

84.

(3pt−2)−2(4p3t5)2\frac{\left(3pt^{-2}\right)^{-2}}{\left(4p^3t^5\right)^2}  

a)

9p816t6\frac{9p^8}{16t^6}  

b)

916p8t6\frac{9}{16p^8t^6}  

c)

p8144t6\frac{p^8}{144t^6}  

d)

1144p8t6\frac{1}{144p^8t^6}  

85.

(5gt−4)3(g−2t5)−3\frac{\left(5gt^{-4}\right)^3}{\left(g^{-2}t^5\right)^{-3}}  

a)

125t3g3\frac{125t^3}{g^3}  

b)

125g3t3\frac{125}{g^3t^3}  

c)

125t27g3\frac{125t^{27}}{g^3}  

d)

125g3t27\frac{125}{g^3t^{27}}  

86.

Simplify:    2−42^{-4}  

a)

−8-8  

b)

−16-16  

c)

−18-\frac{1}{8}  

d)

116\frac{1}{16}  

87.

x−7x^{-7}  

a)

1x−7\frac{1}{x^{-7}}  

b)

1x7\frac{1}{x^7}  

c)

x7x^7  

d)

7x7x  

88.

Rewrite using a Positive Exponent:    5n−95n^{-9}  

a)

−5n9-5n^9  

b)

−5n9-\frac{5}{n^9}  

c)

5n9\frac{5}{n^9}  

d)

−45n-45n  

89.

1w−2\frac{1}{w^{-2}}  

a)

w2w^2  

b)

−2w-2w  

c)

2w\frac{2}{w}  

d)

1w2\frac{1}{w^2}  

90.

Simplify:     x3 ⋅ x−3x^3\ \cdot\ x^{-3}  

a)

x0 =  1x^{0\ }=\ \ 1  

b)

x−1  =  1xx^{-1\ \ }=\ \ \frac{1}{x}  

c)

2x−9 = 2x92x^{-9}\ =\ \frac{2}{x^9}  

d)

2x0= 22x^0=\ 2  

91.

Simplify:     x−3x−7\frac{x^{-3}}{x^{-7}}  

a)

x21x^{21}  

b)

x4x^4  

c)

1x21\frac{1}{x^{21}}  

d)

1x10\frac{1}{x^{10}}  

92.

x5y−6zx−3yz−3\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}  

a)

x8z4y7\frac{x^8z^4}{y^7}  

b)

x2z3y5\frac{x^2z^3}{y^5}  

c)

x8y7z4\frac{x^8}{y^7z^4}  

d)

x2y5z2\frac{x^2}{y^5z^2}  

93.
How would you change this to a positive exponent:
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
94.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
95.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
96.

Simplify the following expression:


(xyz)0 =

a)

0

b)

1

c)

xyz

d)

-1

97.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
98.
Simplify
(-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
99.

2−2  = 2^{-2\ }\ =\  

a)

12\frac{1}{2}  

b)

14\frac{1}{4}  

c)

−14-\frac{1}{4}  

d)

44  

100.

8−1  = 8^{-1}\ \ =\  

a)

18\frac{1}{8}  

b)

−8-8  

c)

−18-\frac{1}{8}  

d)

88  

101.

40 = 4^0\ =\  

a)

00  

b)

−1-1  

c)

11  

d)

undefinedundefined  

102.

(14)−1  =\left(\frac{1}{4}\right)^{-1}\ \ =  

a)

−14-\frac{1}{4}  

b)

14\frac{1}{4}  

c)

−4-4  

d)

44  

103.

(15)(0) =\left(\frac{1}{5}\right)^{\left(0\right)}\ =  

a)

55  

b)

00  

c)

11  

d)

undefined

104.

3−2 =3^{-2}\ =  

a)

19\frac{1}{9}  

b)

−19-\frac{1}{9}  

c)

−9-9  

d)

−6-6  

105.

7−2 =7^{-2}\ =  

a)

−149-\frac{1}{49}  

b)

−14-14  

c)

−114-\frac{1}{14}  

d)

149\frac{1}{49}  

106.

25 =2^5\ =  

a)

3232  

b)

1010  

c)

1616  

d)

2525  

107.

x0 = x^0\ =\  

a)

 Cannot be determined

b)

1  1\ \  

c)

00  

d)

xx  

108.

(1x)−1 = \left(\frac{1}{x}\right)^{-1}\ =\  

a)

−x-x  

b)

−1-1  

c)

x   x\ \ \  

d)

11  

109.

(1x)−2 =\left(\frac{1}{x}\right)^{-2}\ =  

a)

−2-2  

b)

x2x^2  

c)

−x2-x^2  

d)

−2x-2x  

110.

Choose all that apply:   (136) = \ \left(\frac{1}{36}\right)\ =\  

a)

36−136^{-1}  

b)

−36-36  

c)

6−26^{-2}  

d)

−112-\frac{1}{12}  

111.

Choose all the apply:     18 =\ \ \ \frac{1}{8}\ =  

a)

8−18^{-1}  

b)

2−32^{-3}  

c)

4−24^{-2}  

d)

123\frac{1}{2^3}  

112.

Choose all that apply:     27−1 =\ \ \ 27^{-1}\ =  

a)

132\frac{1}{3^2}  

b)

133\frac{1}{3^3}  

c)

−127-\frac{1}{27}  

d)

3−33^{-3}  

113.

Choose all that apply:    4−3 = \ \ 4^{-3}\ =\  

a)

164\frac{1}{64}  

b)

−164-\frac{1}{64}  

c)

143\frac{1}{4^3}  

d)

−64-64  

114.

(12)−1 =\left(\frac{1}{2}\right)^{-1}\ =  

a)

−12-\frac{1}{2}  

b)

−21-\frac{2}{1}  

c)

21\frac{2}{1}  

d)

−1-1  

115.

(35)−1\left(\frac{3}{5}\right)^{-1}   ==   

a)

−35-\frac{3}{5}  

b)

53\frac{5}{3}  

c)

−53-\frac{5}{3}  

d)

35\frac{3}{5}  

116.

9−2 =9^{-2}\ =  

a)

181\frac{1}{81}  

b)

−18-18  

c)

−181-\frac{1}{81}  

d)

8181  

117.

1100 \frac{1}{100}\   is equivalent to

a)

10210^2  

b)

−100-100  

c)

−102-10^2  

d)

10−210^{-2}  

118.

164  \frac{1}{64}\ \  is equivalent to

a)

−82-8^2  

b)

8−28^{-2}  

c)

−64-64  

d)

−182-\frac{1}{8^2}  

119.

Simplify:

a)

A

b)

B

c)

C

d)

D

120.

SimplifY

a)

A

b)

B

c)

C

d)

D

121.

Simplify

a)

A

b)

B

c)

C

d)

D

122.

Simplify

a)

A

b)

B

c)

C

d)

D

123.

SimplifY

a)

A

b)

B

c)

C

d)

D

124.

Simplify

a)

A

b)

B

c)

C

d)

D

125.

Simplify:

a)

A

b)

B

c)

C

d)

D

126.

Simplify

a)

A

b)

B

c)

C

d)

D

127.

Simplify

a)

A

b)

B

c)

C

d)

D

128.

Simplify

a)

A

b)

B

c)

C

d)

D

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