Free Printable Negative Exponent and Monomial

1.

3⁻⁴

a)

1 ⁄ 81

b)

-81

c)

81

d)

1 ⁄ 12

2.

7^-2

a)

49

b)

10/49

c)

-49

d)

1/49

3.

2^-1

a)

1/2

b)

1/1

c)

-1/1

d)

-1/2

4.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

5.

Solve 3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

6.

Solve (-8)^-2

a)

1/(-8)²

b)

1/8²

c)

1/64

d)

-64

7.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

8.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

9.

Simplify x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

10.

Simplify (-9)⁰

a)

-9

b)

-1

c)

1

d)

9

11.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

12.

Rewrite using a positive exponent.
2w^-13

a)

-w¹³

b)

2/_w¹³

c)

2/_w^-13

d)

2w¹³

13.

Simplify (34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

14.

Simplify 3a^-1c^-5/ d⁰

a)

1

b)

3/ac⁵

c)

3a/c⁵

d)

1/3a¹c⁵d

15.

Simplify
(-x)(-x)(-x)(-x)(-x)(-x)

a)

6

b)

6x⁶

c)

1/x⁶

d)

x⁶

16.

Write with positive exponents:

a)

a^-2

b)

a²

c)

1/a¹

17.

Simplify.

a)

y¹⁵

b)

y⁵

c)

y²

d)

2y⁵

18.

Simplify.
2x^-5y⁷⋅3x^-4y^-2

a)

6x⁹y⁹

b)

6y⁵/x⁹

c)

6/x⁹y⁵

d)

6/x⁹y⁹

19.

Simplify.
s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

20.

Rewrite using a positive exponent.

5g^{-7}km

a)

$\frac{5km}{g^7}$

b)

$5g^7km$

c)

$\frac{5}{g^{-7}km}$

d)

$\frac{1}{5g^7km}$

21.

Simplify.
$3x^{-3}y^0$

a)

$\frac{3x^3}{y}$

b)

$\frac{y}{3x^3}$

c)

$\frac{3}{x^3}$

d)

$x^3$

22.

$4c^8d^{-3}\cdot5c^{-5}d^{-1}$

a)

$9c^3d^4$

b)

$\frac{20c^3}{d^4}$

c)

$20c^3d^4$

d)

$\frac{20}{c^3d^4}$

23.

$\frac{9a^3b^5}{-3ab^2}$

a)

$-3a^3b^3$

b)

$-3a^4b^7$

c)

$12a^2b^3$

d)

$-3a^2b^3$

24.

$\frac{56cd}{8c^2d^4}$

a)

$7cd^3$

b)

$\frac{7}{cd^3}$

c)

$48cd^3$

d)

$\frac{48}{cd^3}$

25.

-3xy³ . (4xy)²

a)

-12x³y⁵

b)

-48x²y⁴

c)

-48x³y⁵

d)

-12x²y⁶

26.

$\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}$

a)

$\frac{x^8z^4}{y^7}$

b)

$\frac{x^2z^3}{y^5}$

c)

$\frac{x^8}{y^7z^4}$

d)

$\frac{x^2}{y^5z^2}$

27.

Simplify: $x^3\ \cdot\ x^{-3}$

a)

$x^{0\ }=\ \ 1$

b)

$x^{-1\ \ }=\ \ \frac{1}{x}$

c)

$2x^{-9}\ =\ \frac{2}{x^9}$

d)

$2x^0=\ 2$

28.

Write in simplified exponent form with no negative exponents.
$\frac{a^{-2}b^3}{a}$

a)

$\frac{b^3}{a^3}$

b)

$a^{-3}b^{-3}$

c)

$-\frac{b^3}{a^1}$

d)

$\frac{b^3}{a^1}$

29.

$15u^0v^2$ Write in simplified exponent form with no negative exponents.

a)

$15$

b)

$15v^2$

c)

$1$

d)

$15uv^0$

30.

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

a)

$\frac{125t^3}{g^3}$

b)

$\frac{125}{g^3t^3}$

c)

$\frac{125t^{27}}{g^3}$

d)

$\frac{125}{g^3t^{27}}$

31.

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

a)

$\frac{9p^8}{16t^6}$

b)

$\frac{9}{16p^8t^6}$

c)

$\frac{p^8}{144t^6}$

d)

$\frac{1}{144p^8t^6}$

32.

$\frac{42x^3y^{-2}}{6x^{-1}y^4}$

a)

$\frac{7y^6}{x^4}$

b)

$\frac{7x^4}{y^6}$

c)

$\frac{6y^6}{x^4}$

d)

$\frac{6x^4}{y^6}$

33.

$\frac{-35a^3b^{-2}c}{7a^{-2}b^5c^3}$

a)

$\frac{-5c^2}{a^5b^7}$

b)

$\frac{-5b^7}{a^5c^2}$

c)

$\frac{-5a^5}{b^7c^2}$

d)

$\frac{-5}{a^5b^7c^2}$

34.

$\frac{\left(2m^2n^3\right)^2}{\left(3m^{-2}n^4\right)^{-2}}$

a)

$\frac{4mn^{14}}{9}$

b)

$36n^{14}$

c)

$\frac{36}{n^{14}}$

d)

$\frac{4n^{14}}{9m}$

35.

$\frac{5g^{-2}h^5}{\left(g^{-2}h^3\right)^2}$

a)

$\frac{5h}{g^2}$

b)

$\frac{5}{g^2h}$

c)

$5g^2h$

d)

$\frac{5g^2}{h}$

36.

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

(a)

37.

$\frac{r^{-5}t^{-3}}{q^7}$

a)

$\frac{1}{q^7r^5t^3}$

b)

$\frac{t^3}{q^7r^5}$

c)

$\frac{r^5}{q^7t^3}$

d)

$\frac{q^7}{r^5t^3}$

38.

$\frac{a^{-3}b^8}{c^{-5}}$

a)

$\frac{c^5}{a^3b^8}$

b)

$\frac{b^8}{a^3c^5}$

c)

$\frac{b^8c^5}{a^3}$

d)

$\frac{a^3b^8}{c^5}$

39.

$\frac{\left(x^2y^{-3}\right)^2}{\left(x^{-2}y^7\right)^3}$

a)

$\frac{x^{10}}{y^{27}}$

b)

$\frac{y^{27}}{x^{10}}$

c)

$x^{10}y^{27}$

d)

$\frac{1}{x^{10}y^{27}}$

Negative Exponent and Monomial

Total questions: 39

Worksheet time: 47mins

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