Exponent Properties Review

Product of Powers

100

(a²) (a⁴ )

a⁶

200

y⁹ * y⁸

y¹⁷

300

b * b⁴

b⁵

400

m⁹ * m⁸ * m⁷

m²⁴

500

a⁶b⁷ * a⁴b⁶

a¹⁰b¹³

Quotient of Powers

100

y¹⁰ / y⁸

y²

200

x⁹ / x

x⁸

300

a³ / a⁵

1 / a²

400

b⁶ / b¹⁰

1 / b⁴

500

m¹³n⁸ / m²n¹⁸

m¹¹ / n¹⁰

Power of a Power

100

(x²)⁵

x¹⁰

200

(y⁸)⁵

y⁴⁰

300

(m⁹n³)⁷

m⁶³n²¹

400

(2xy⁵)⁶   *Hint Don't forget the up-sign bro 

64x⁶y³⁰

500

(2x²y⁴)⁵

32x¹⁰y²⁰

Zero and Negative Powers

100

x⁰

1

200

x^-7

1 / x⁷

300

a^-2

1/a²

400

a^-4b³ 

______

a²b³

1/a²  with b⁰ or another 1

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