Free Printable Laws of exponents

1.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

2.

(2ab)³

a)

2³a³b³

b)

2ab³

c)

6a³b³

d)

6ab

3.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

4.

a)

-6c⁵

b)

-6c

c)

6c

d)

-6c⁶

5.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x¹⁰

d)

3x⁷

6.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

7.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

8.

How do you write
5⋅5⋅5⋅5⋅5⋅5⋅5
with an exponent?

a)

5⁷

b)

5⁶

c)

7⁵

d)

5

9.

a)

4⁹

b)

4⁴⁴

c)

4²¹

d)

4¹⁵

10.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

11.

Simplify the following expression:
$\frac{30y^{12}}{15y^2}$

a)

2y²⁴

b)

2¹⁰

c)

2y¹⁰

d)

2y¹⁴

12.

$\left(3x^4\right)^5$

a)

$15x^9$

b)

$243x^{20}$

c)

$15x^{20}$

d)

$243x^9$

13.

$\left(7x^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

14.

$\frac{x^8}{x^5}$

a)

$x^3$

b)

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

c)

$x^{13}$

d)

$x^{40}$

15.

Simplify $3\left[\left(x^2\right)^3\right]^0$

a)

0

b)

1

c)

3

d)

$3x^6$

Laws of exponents

Total questions: 15

Worksheet time: 14mins

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