Free Printable Laws of Exponents

1.

Which expression is equivalent to $\frac{\left(2x\right)^5}{x^3}$

a)

$2x^2$

b)

$32x^2$

c)

$2x^8$

d)

$32x^{-2}$

2.

$\frac{d^{14}}{d^{17}}$

a)

$\frac{d}{d^3}$

b)

$d^{-3}$

c)

$\frac{1}{d^3}$

d)

$d^3$

3.

a)

5x⁷

b)

6x¹²

c)

6x⁷

d)

5x¹²

4.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

5.

What is the value of:
(3/4)⁰

a)

1

b)

0

c)

3/4

d)

3/16

6.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

7.

Write the following in EXPONENTIAL form with a positive exponent:
1/x^-8

a)

x⁸

b)

1/x^-8

c)

8x

d)

1/8x

8.

Which of the following is equivalent to (x³)⁴

a)

x⁶x²

b)

x⁷x⁵

c)

x¹²x¹

d)

x^-12

9.

$\left(\frac{2y^0}{2x^4y^4\cdot x}\right)^2$

a)

$\frac{1}{x^{10}y^8}$

b)

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

c)

$\frac{x^{10}}{2y}$

d)

$\frac{x^{16}}{y^3}$

10.

$9x^6y^2\cdot5x^2y^3$

a)

$14x^8y^5$

b)

$14x^{12}y^6$

c)

$45x^8y^5$

d)

$45x^{12}y^6$

e)

$45x^8y^6$

11.

Simplify: $\frac{4x^{12}}{2x^4}$

a)

$2x^8$

b)

$\frac{2}{x^3}$

c)

$2x^3$

d)

$\frac{1}{2x^8}$

12.

Simplify: $\left(-5x^{-3}\right)^{-2}$

a)

$\frac{x^6}{25}$

b)

$-10x^6$

c)

$-\frac{x^6}{25}$

d)

$\frac{25}{x^5}$

13.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

14.

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)

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

15.

Simplify the expression $\frac{\left(2a^0\right)^2\cdot2ab^{-1}}{ab^{-4}}$

a)

$\frac{b^{15}a^3}{8}$

b)

$\frac{b^{16}}{16a^8}$

c)

$8b^3$

d)

$\frac{ba^7}{2}$

Laws of Exponents - Review

Total questions: 15

Worksheet time: 26mins

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