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 Product/Quotient

100

(ab)⁴

a⁴b⁴

200

(x / y)²

x² / y²

300

(sv)⁵

s⁵v⁵

400

(p / q)⁹

p⁹ / q⁹

500

(2x / y)³

2³x³ / y³

Power of a Power

100

(x²)⁵

x¹⁰

200

(y⁸)⁵

y⁴⁰

300

(m⁹n³)⁷

m⁶³n²¹

400

(xy⁵)⁶

x⁶y³⁰

500

(2x²/y⁴)⁵

2⁵x¹⁰/y²⁰

Zero and Negative Powers

100

x⁰

1

200

x^-7

1 / x⁷

300

1 / a^-2

a²

400

a^-8b³

b³ / a⁸

500

m^-3 / n^-6

n⁶ / m³