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7.1 Exponent Laws

Total questions: 32

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

Evaluate 5x44x55x^4\cdot4x^5  

a)

4x2\frac{4}{x^2}  

b)

4

c)

20x920x^9  

d)

9x4\frac{9}{x^4}  

2.

Evaluate 3v25v33v^2\cdot5v^{-3}  

a)

15v\frac{15}{v}  

b)

20v20v  

c)

20v520v^5  

d)

15v515v^5  

3.

Evaluate 5n42n65n^{-4}\cdot2n^6  

a)

18n\frac{18}{n}  

b)

12n9\frac{12}{n^9}  

c)

18n718n^7  

d)

10n210n^2  

4.

Evaluate x32x6x^3\cdot2x^{-6}  

a)

24x324x^3  

b)

2x3\frac{2}{x^3}  

c)

15x3\frac{15}{x^3}  

d)

6x36x^3  

5.

Simplify 5r64r3\frac{5r^6}{4r^3}  

a)

3r2\frac{3}{r^2}  

b)

3r2\frac{3r}{2}  

c)

5r44\frac{5r^4}{4}  

d)

5r34\frac{5r^3}{4}  

6.

Simplify 6x55x6\frac{6x^{-5}}{5x^6}  

a)

32x4\frac{3}{2x^4}  

b)

65x11\frac{6}{5x^{11}}  

c)

12x3\frac{1}{2x^3}  

d)

6x25\frac{6x^2}{5}  

7.

Simplify 5x32x6\frac{5x^3}{2x^{-6}}  

a)

3x42\frac{3x^4}{2}  

b)

x9x^9  

c)

5x92\frac{5x^9}{2}  

d)

13x2\frac{1}{3x^2}  

8.

Evaluate 6n26n2\frac{6n^2}{6n^{-2}}  

a)

n4n^4  

b)

13n10\frac{1}{3n^{10}}  

c)

43n4\frac{4}{3n^4}  

d)

4n34n^3  

9.

Simplify (5x3)2\left(5x^3\right)^2  

a)

8x158x^{15}  

b)

25x625x^6  

c)

9x49x^4  

d)

13125x5\frac{1}{3125x^5}  

10.

Simplify (p3)6\left(p^3\right)^6  

a)

1243p25\frac{1}{243p^{25}}  

b)

125p18125p^{18}  

c)

1p8\frac{1}{p^8}  

d)

p18p^{18}

11.

Simplify (2p3)3\left(2p^3\right)^{-3}  

a)

16p1016p^{10}  

b)

18p9\frac{1}{8p^9}  

c)

8p9\frac{8}{p^9}  

d)

243p10243p^{10}  

12.

(2n3)5\left(2n^{-3}\right)^5  

a)

36n10\frac{36}{n^{10}}  

b)

1n4\frac{1}{n^4}  

c)

32n15\frac{32}{n^{15}}  

d)

256n8256n^8  

13.
Solve 5-2
a)
-10
b)
1/25
c)
1/(5)2
d)
-1/10
14.
What is 10equivalent to?
a)
1
b)
10
c)
0
d)
100
15.
Simplify (34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
16.
Simplify -5p0t-5 / 2-1m2
a)
-5p/2t5m2
b)
10m2/t5
c)
(-5)(2)/t5m2
d)
-10/t5m2
17.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
18.
Simplify x2y-5
a)
x2/y5
b)
1/x2y5
c)
y5/x2
d)
x2/y-5
19.
(c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
20.
t63•t
a)
t64
b)
t63
21.
(x14)3
a)
x17
b)
x42
c)
x11
d)
3x14
22.
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
23.
CHALLENGE:
3x3* 2x8y5
a)
5x11y6
b)
6x11y6
c)
6x24y5
d)
3x112y5
24.
18h10÷ 6h8 
a)
3h18
b)
3h80
c)
2h2
d)
3h2
25.
12h8÷ 3h4
a)
4h12
b)
9h4
c)
4h4
d)
9h12
26.
Simplify
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
27.
Simplify the following:
(3ab2)3
a)
27a3b6
b)
3ab6
c)
3a3b6
d)
27ab2
28.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
29.
Solve (hint: there's more than 1 law you must obey)
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
30.
1⁄4x⁻⁵
a)
x⁵⁄4
b)
4x⁵
c)
-4x⁵
d)
-x⁵⁄4
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D