Properties of Exponents

Product of Powers

Words: when multiplying like bases, add the exponents

Symbols: (x^a)(x^b) = x^a+b

Numbers: (8³)(8⁶) = 8⁹

Multiple Choice

a⁶ ⋅ a⁴

• a⁶⁴

• a²⁴

• a¹⁰

Multiple Choice

a²(a³)(a⁶)

• a¹¹

• a³⁶

• a20

• 3a¹²

Multiple Choice

(q²)(2q⁴)

• 2q⁸

• 2q⁶

• 16q⁶

• 16q⁸

Multiple Choice

(6cd⁵)(5c⁵d²)

• 30c⁶d⁷
• 11c⁶d⁷
• 30c⁵d¹⁰
• 11c⁵d¹⁰

Multiple Choice

(9w²x⁸)(w⁶x⁴)

• 9w⁸x¹²

• 9w¹²x³²

• 81w⁸x¹²

• 81w¹²x³²

Power of a Power

Words: when a power (base with exponent) is raised to another power (exponent), you multiply the exponents (keep the base!)

Symbols: (x^a)^b= x^ab

Numbers: (8³)⁶=8¹⁸

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

(-3y)³

• 9y³
• -27y³
• -9y³
• -3y³