Free Printable Exponent rules review

1.

Simplify: 3x³ ⋅ 3x

a)

3²x⁴

b)

3 ⋅ x ⋅ x ⋅ x ⋅3 ⋅ x

c)

9x⁴

d)

3x⁴

2.

Simplify: (6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

3.

Complete the following statement to represent the quotient rule:
x^a/ x^{b = ?}

a)

x^{a + b}

b)

x^{a x b}

c)

x^{a - b}

d)

abx

4.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

5.

a)

a

b)

b

c)

c

d)

d

6.

$2x^{-3}\cdot3x^{3\ }\cdot2x^{-3}$

a)

$6x^2$

b)

$\frac{3}{x}$

c)

$\frac{12}{x^3}$

d)

$12x^5$

7.

$-x^5y^4\cdot\left(x^{-4}y^2\right)^2$

a)

$-x^3y^8$

b)

$-\frac{y^6}{x^2}$

c)

$-\frac{y^8}{x^3}$

d)

$-x^4y^{16}$

8.

$\left(\frac{5x^4}{z^3}\right)^3$

a)

$\frac{5x^{12}}{z^9}$

b)

$\frac{5x^7}{z^6}$

c)

$\frac{125x^{12}}{z^9}$

d)

$\frac{125x^7}{z^6}$

9.

$\left(\frac{3c^3}{e^5}\right)^{-4}$

a)

$\frac{81}{c^{12}e^{20}}$

b)

$\frac{1}{81c^{12}e^{20}}$

c)

$-\frac{12e^{20}}{c^{12}}$

d)

$\frac{e^{20}}{81c^{12}}$

10.

$\left(4x^0y^4\right)^2$

a)

$16x^2y^8$

b)

$4x^2y^6$

c)

$16y^8$

d)

$4y^8$

11.

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

a)

$\frac{4}{3}x^6y^6$

b)

$\frac{4}{3x^2y^2}$

c)

$\frac{4}{3}x^8y^8$

d)

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

12.

a)

-0

b)

0

c)

-1

d)

-3

13.

a)

b)

c)

d)

14.

(5x²)⁰(9x)²

a)

45x⁴

b)

81x

c)

81x²

d)

0

15.

a)

7/ u³

b)

7u¹¹

c)

7u^1.75

d)

7u³

Exponent rules review

Total questions: 15

Worksheet time: 30mins

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