Exponent Properties Review

Product of Powers

100

m⁹ * m⁸ * m⁷

m²⁴

200

2x⁴y^-10 * -10xy⁸

-20x⁵/y²

300

3a⁰b⁸ * 7a⁷b^-1 * 6a⁴b^-8

126a¹¹/b

400

(-5a²) (-10a⁴ )

50a⁶

500

4a⁴b^-4 * -3a⁴b⁴ * 4a⁴b⁰

-48a¹²

Quotient of Powers

100

y¹⁰ / y⁸

y²

200

6x^-10 y⁸/ 2yx⁷

3y⁷/x¹⁷

300

2a² /8a³

1 / 4a

400

6x^-10y⁸ / 2yx⁷

3y⁷/x¹⁷

500

4m²n³ / p³n^-1

4m²n⁴ / p³

Power of a Power

100

(x²)⁵

x¹⁰

200

(y⁸)⁵

y⁴⁰

300

(234m⁹n³)⁰

1

400

(2x^-2y^-4z^-2)²

9/x⁴y⁸z⁴

500

(4x⁴y⁴z²)³

64x¹²y¹²z⁶

Zero and Negative Powers

100

x⁰

1

200

x^-7

1 / x⁷

300

a^-2

1/a²

400

a^-4b³ 

b³/a⁴

500

m^-3 / n^-6

n⁶ / m³

Combining Power Rules

100

(a⁴b²)² 

______

a³b³ 

a⁵b

200

(25a⁸b⁶)  (2a²b²)² 

100a¹²b¹⁰

300

(a⁴b⁸ * a²b²) ³ 

a¹⁸b³⁰

400

(2a⁴b⁸ * ab²) ³ 

8a⁷b³⁰

500

(2a⁴b² * 4a³b⁴) ³ 

512a²¹b¹⁸