Free Printable Laws of Exponents

1.

Solve and Simplify (no exponent)

2^0

a)

$0$

b)

$1$

c)

$2$

d)

$\frac{1}{2}$

2.

Solve and Simplify (no exponent)

\left(2\cdot3\right)^2

a)

$36$

b)

$12$

c)

$24$

d)

$\frac{1}{36}$

3.

Simplify to an equivalent expression BUT leave in exponent form. $\left(4^3\right)\left(4^5\right)$

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

4.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

5.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

6.

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

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

7.

a)

y¹⁵

b)

y⁵⁰

c)

y²

d)

y⁵

8.

$\left(x^3\right)\left(x^5\right)\left(x^{10}\right)$

a)

150x

b)

18x

c)

x¹⁸

d)

x¹⁵⁰

9.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

10.

Simplify the following: $\left(x^2y\right)^5$

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

11.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

12.

a)

9^-4

b)

9^-45

c)

3^-4

d)

3^-45

13.

Simplify: $\left(x^3\right)\left(x^2\right)$

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

14.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

15.

$\frac{1}{a^{-5}}$

a)

$a^{-5}$

b)

$\frac{a}{5}$

c)

$a^5$

d)

$\frac{5}{a}$

Laws of Exponents

Total questions: 15

Worksheet time: 3hrs 30mins

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