Free Printable Laws of Exponents Practice

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

Simplify: $3^2\cdot3^4$

a)

$3^6$

b)

$3^8$

c)

$3^2$

d)

$3^{-2}$

3.

Simplify: $5\cdot5^3$

a)

$5^1$

b)

$5^2$

c)

$5^3$

d)

$5^4$

4.

Simplify:
(x⁵)⁴

a)

x⁹

b)

x²⁰

c)

x

d)

x⁵⁴

5.

(x³⁾(x⁵)(x¹⁰)

a)

150x

b)

18x

c)

x¹⁸

d)

x¹⁵⁰

6.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

7.

a)

$4w^3z$

b)

$\frac{w^3z}{4}$

c)

$\frac{4}{w^3z}$

d)

$4wz^3$

8.

a)

$-40x^{12}y^{15}$

b)

$-40x^4y^{11}$

c)

$2x^{12}y^{15}$

d)

$2x^4y^{11}$

9.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

10.

Which expression is NOT equivalent to $3^8$ ?

a)

$\left(3^6\right)\left(3^2\right)$

b)

$\left(3^4\right)^2$

c)

$\left(3^4\right)\left(3^4\right)$

d)

$\left(3^4\right)^4$

11.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

12.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

13.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

14.

$10^2$ Identify the base

a)

10

b)

2

15.

$10^2$ Identify the exponent

a)

10

b)

2

16.

Which expression is equivalent to $\frac{x^2y^2z^2}{4y^4}$ ?

a)

$4y^6$

b)

$y^6$

c)

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

d)

$4x^2y^6z^2$

17.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

18.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

19.

a)

b)

c)

d)

20.

Simplify:
(a⁴b¹⁹c²¹d^-14)⁰

a)

1

b)

0

c)

a⁴b¹⁹c²¹d^-14

d)

a^-4b^-19c^-21d¹⁴

Laws of Exponents Practice

Total questions: 20

Worksheet time: 24mins

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