Exponent Rules

Negative Exponents

100

(-6x)^-2

1/(6x)² or 1/36x²

200

1/3^-2

3² or 9

300

8^-3

1/8³

400

5b^-4

5/b⁴

500

-y^-2

-1/y²

Zero Exponents

100

5⁰

1

200

9x⁰

9

300

6(xyz)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 or 78,125

400

(xy)(x⁵y⁸)

x⁶y⁹

500

x⁵y²/x²y²

x³

Power of...

100

(2²)⁴

2⁸ or 256

200

(x²)⁵

x¹⁰

300

(3x)⁵

3⁵x⁵ or 243x⁵

400

(x/6)³

x³/6³ or x³/216

500

(8/c²)⁶

8⁶/c¹² or 262,144/c¹²

Multi-Step

100

(5^-4)(5⁴)

1

200

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

1/y⁴

300

(-20x⁴y³)/(4x³y⁶)

-5x/y³

400

3x^-2g³(6x⁴g^-4)

18x²/g

500

2²/(2²x^-2y³)^-4

2¹⁰y¹²/x⁸ or 1024y¹²/x⁸