Free Printable Exponents Laws

1.

a)

b)

c)

d)

2.

a)

b)

c)

d)

3.

Solve (hint: there's more than 1 law you must obey)

a)

x²⁸y¹² / x²y

b)

x²⁸y¹² / x⁸y⁴

c)

x²⁰y⁸

4.

Simplify:
(a⁴b¹⁹c²¹d^-14)⁰

a)

1

b)

0

c)

a⁴b¹⁹c²¹d^-14

d)

a^-4b^-19c^-21d¹⁴

5.

Simplify

a)

k¹²/ 9

b)

9k²

c)

1 / 9k²

d)

9 / k²

6.

Simplify (7a²)(5a⁶b)²

a)

35a¹⁴b²

b)

175a¹²b²

c)

175a¹⁴b²

d)

35a¹⁴b

7.

Simplify the expression.

a)

6x²y

b)

-2x²y

c)

-6x²y

d)

-6x²y⁵

e)

6x⁷y⁶

8.

Select the exponent that makes the equation true.

a)

0

b)

1

c)

20

d)

9

e)

8

9.

Select the exponent that makes the equation true.

a)

3

b)

5

c)

10

d)

15

e)

1

10.

Select the exponent that makes the equation true.

a)

1

b)

2

c)

3

d)

6

e)

24

11.

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)

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

12.

a)

9a⁸/4b²

b)

9b²/4a⁸

c)

9a⁴b⁶/4

d)

9a⁴/4b²

13.

Select the exponent that makes the equation true.

a)

14

b)

28

c)

3

d)

21

e)

0

Exponents Laws

Total questions: 13

Worksheet time: 30mins

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