Exponent Rules

Negative Exponents

100

(-6x)^-2

1/(36x²) 

200

1/3^-2

9

300

8^-3

1/512

400

5b^-4

5/b⁴

500

(-y)^-2

1/y²

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

300

(5⁶)(5)

5⁷

400

(xy)(x⁵y⁸)

x⁶y⁹

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

(8/3²c⁶)⁶

8⁶/3¹²c³⁶

Multi-Step

100

(5^-4)(5⁴)

1

200

(-y)^-2(-y)^-2

1/y⁴

300

(-20x⁴y²)/(4x³y⁶)

-5x/y⁴

400

3x^-2g³(6x⁴g^-4)

18x²/g

500

2²/(2²x^-2y³)^-4

2¹⁰y¹²/x⁸