Free Printable Exponent Laws Review #3

1.

a)

5x⁷

b)

6x¹²

c)

6x⁷

d)

5x¹²

2.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

3.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

4.

Which expression is equivalent to
a⁻³ ?

a)

a

b)

1 / a³

c)

1/a⁻³

d)

−a³

5.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

6.

Simplify the following:
(3ab²)³

a)

27a³b⁶

b)

3ab⁶

c)

3a³b⁶

d)

27ab²

7.

In this expression, keep the base and perform which operation with the exponents?

\left(a^6\right)^5

a)

add

b)

subtract

c)

multiply

d)

divide

8.

In this expression, keep the base and perform which operation with the exponents?

\frac{x^7}{x^3}

a)

add

b)

subtract

c)

multiply

d)

divide

9.

Simplify: n² ⋅ n⁴ ⋅ n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

10.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x¹⁰

d)

3x⁷

11.

Simplify (7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

12.

Simplify: $\frac{-48c^2d^4}{-8cd}$

a)

$-6cd$

b)

$-6cd^3$

c)

$6cd^3$

d)

$6c^3d^5$

13.

Simplify the expression. $-\frac{y^{-4}z^2\cdot y^0z^2}{\left(2z^{-4}\right)^3}$

a)

$-\frac{z^{16}}{8y^4}$

b)

$-y^{24}x^{18}$

c)

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

d)

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

14.

a)

9a⁸/4b²

b)

9b²/4a⁸

c)

9a⁴b⁶/4

d)

9a⁴/4b²

15.

Simplify

a)

b)

c)

d)

Exponent Laws Review #3

Total questions: 15

Worksheet time: 4hrs 45mins

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