Laws of Exponents

Product Law

100

x²∙x³

What is x⁵

200

-8x ∙ 5x²

What is -40x³

300

(5³)(5⁸)

What is 5¹¹

400

(11a²)(-3a¹⁴)

What is -33a¹⁶

500

(-3ab²)(-a^-4b)

What is 3b³/a³

Quotient Law

100

x/x

What is 1

200

6x⁴/3x²

What is 2x²

300

9⁸/9²

What is 9⁶

400

6ab/3ab²

What is 2/b

500

15a³b⁴/12a⁹b³

What is 5b/4a⁶

Power of a Power

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2⁴)³

What is 2¹²

400

(2a³b⁴)⁴

What is 16a¹²b¹⁶

500

(7ab^-2c⁴)²

What is 49a²c⁸/b⁴

Negative and Zero Exponents

100

x^-1

What is 1/x

200

6^-2

What is 1/36

300

1/x^-3

What is x³

400

2x^-2

What is 2/x²

500

5x²y^-1

What is 5x²/y

All Laws

100

(3a)³

What is 27a³

200

x²/x⁴

What is 1/x²

300

(3x³)(5x²)

What is 15x⁵

400

16x⁵/4x³

What is 4x²

500

(3ab³)/(9ab³)

What is 1/3