8th Grade Properties of Exponents

Properties of Exponents

100

(abc)⁰

Zero Exponent

200

3³/3¹

Quotient of Like Bases

300

(x⁵)⁴

Power to a Power

400

(4⁴ * 5³)6

Product to a Power

500

(c⁸d⁴/e⁵f)⁷

Quotient to a Power

Product Properties

100

x⁴ * x⁶

x¹⁰

200

(f³)⁴

f¹²

300

(a³b⁴c⁵)²

a⁶b⁸c¹⁰

400

(x³yz²)(x³y²)

x⁶y³z²

500

(5c³d⁴g³)*(c⁰de⁷)

5c³d⁵g³e⁷

Quotient Properties

100

r⁹/r³

r⁶

200

(s²/t³)⁵

s¹⁰/t¹⁵

300

(ab²/c⁴d³)⁸

a⁸b¹⁶/c³²d²⁴

400

(a³b⁴/ab)²

a⁴b⁶

500

(a⁶b⁷c⁸d/b²c⁹de⁴)

a⁶b⁵d/ce⁴

Negative and Zero Exponent Properties

100

c^-5

1/c⁵

200

a³c⁰

a³

300

2a⁰b⁵c⁰

2b⁵

400

(3^-3a²b^-5/c^-4d⁶)

a²c⁴/3³b⁵d⁶

500

(3a^-1b⁴c³/a^-2bc³)

3ab³

Mixed Properties

100

(a⁶/a³)⁵

a¹⁵

200

2a^-2/a⁴b⁵

2/a⁶b⁵

300

(c⁴d⁵e) * (cd³e⁴)²

c⁶d¹¹e⁹

400

(3^-2c²/c⁵)^-1

3²c³ = 9c³

500

5a^-3b^-2c/a⁴b^-5c³

5b³/a⁷c²