Laws of Exponents

Multiplying Exponents

100

Simplify

x² ∙ x³

x⁵

200

Simplify

x ∙ x²

x³

300

Simplify

2³ ∙ 2⁵

2⁸

400

Simplify

8x² ∙ 2x⁶

16x⁸

500

Simplify

-3b² ∙ -b

3b³

Dividing Exponents

100

Simplify

x²⁰/x³

x¹⁷

200

Simplify

5⁴/5⁶

1/5²

300

Simplify

60x⁵y⁷/10x⁴y²

6xy⁵

400

Simplify

3²²/3³

3¹⁹

500

Simplify

3⁶/3²

3⁴

Power to a Power

100

Simplify

(7⁸)⁹

7⁷²

200

Simplify

(5y²)³

125y⁶

300

Simplify

(x²/3)⁴

x⁸/81

400

Simplify

(4x)²

16x²

500

Simplify

(7ab²c⁴)²

49a²b⁴c⁸

Negative Exponents

100

Simplify

2^-5

1/2⁵

200

Simplify

x^-2

1/x²

300

Simplify

x^-2 ∙ y^-1

1/x²y

400

Simplify

2x^-2

What is 2/x²

500

Simplify

x²y^-1

What is x²/y

Other

100

Simplify

8⁰

1

200

Simplify

(-3)⁰ (9)⁰

1

300

Which value is greater?

5⁴ or 5⁴/5

5⁴ is greater

400

Simplify

16x⁵/4x⁵

4

500

Simplify

(3ab³)/(9ab³)

What is 1/3