Properties of Exponents

Properties of Exponents

Learn and practice

Multiply Properties

• Product of Powers

• Power of a Power

• Power of a Product

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

Product Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

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

Power Rule states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

Power of a Product

Poll

My level of understanding

(left to right, NO: I don't get it at all, Whoops: need some help but I'm starting to understand, Nailed It: I can do this on my own.

Multiple Choice

(2m³)(3m⁴) =

• 5m⁷

• 6m¹²

• 5m¹²

• 6m⁷

Multiple Choice

 Simplify
(3x³y⁵)⁴

• 3x¹²y²⁰
• 81x¹²y²⁰
• 12x¹²y²⁰
• 81x⁷y⁹

Multiple Choice

(x⁸)(x^-5)

• x^-40
• x^-13
• x¹³
• x³