Exponent Rules Review

Negative Exponents

100

(-6x)^-2

-1/(6x^2 

200

8^-3

1/8^3

300

5b^-4

5/b^4

400

(-y)^-2

1/(-y)^2 

Zero Exponents

100

5⁰

1

200

6(x+y)⁰

6

300

4x⁰y⁰z⁴

4z⁴

400

x⁰+y⁰+z⁰

3

Product/Quotient Rules

100

6^3 /6^2

6

200

(5⁶)(5)

5⁷

300

(xy)(x⁵y⁸)

x⁶y⁹

400

(x³y²)(x³y²)/(x²)(x²)

x²y⁴

Power of a Power

100

(2²)⁴

2⁸

200

(y⁶x⁴)⁵

y³⁰x²⁰

300

(5²x⁴)³

5⁶x¹²

400

(8/(3^2c^6))^6

8^6/(3^12c^36

Multi-Step

100

(5^-4)(5⁴)

1

200

(-20x^4y^2)/(4x^3y^6)

(-5x)/y^4

300

3x^-2g³(6x⁴g^-4)

(18x^2)/g

400

2^2/(2^2x^-2y^3)^-4

(2^10y^12)/x^8