Exponent Rules

Negative Exponents

100

(x)^-2

1/(x)²

200

3^-2 - rewrite with positive exponents

1/3²

300

10*8^-3

10/8³

400

4^-2  rewrite with positive exponents AND as a simplified fraction

1/4² AND 1/16

500

(-y)^-2

1/(-y)²

Zero Exponents

100

5⁰

1

200

9x⁰

9

300

6(x+y)⁰

6

400

4x⁰y⁰z⁴

4z⁴

500

x⁰+y⁰+z⁰

3

Product/Quotient Rules

100

6³/6²

6

200

5/5²

1/5 or 5^-1

300

(5⁶)(5)

5⁷

400

(x⁵y⁸)/(xy)

x⁴y⁷

500

(x³y²)(x³y²)/(x²)(x²)

x²y⁴

Power of a Power

100

(2²)⁴

2⁸

200

(x²)⁵

x¹⁰

300

(y⁶x⁴)⁵

y³⁰x²⁰

400

(5²x⁴)³

5⁶x¹²

500

(8*v^-2)⁶ rewrite with only positive exponents

8⁶/v¹²