Property of Exponents Power Product Rules

(8⁵)³

• 8⁸

• 8¹⁵

• 8²

• 1/8²

Simplify
(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

3x⁴ * 6x⁶

• 18x¹⁰

• 9x¹⁰

• 18x²⁴

• 9x²⁴

2x³y⁵ * 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰

(5x²y²)³

• 125x⁶y⁶

• 15x⁶y⁶

• 8x⁵y⁵

• 15x⁵y⁵

(3xy)²

• 9x²y²

• 6x²y²

• 3xy²

• 3x²y²

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

• multiply

• add

• subtract

• divide

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

• multiply

• add

• subtract

• divide

Match the following exponent rules.

• keep the base and multiply the exponents

• Zero Exponent Property

• For any nonzero number, a^0 = 1

• Power of Powers Property

• keep the base, subtract the exponents

• Quotient of Powers Property

• Multiply the bases and keep the exponent

• Negative Exponent Property

• For every nonzero number, a^-n = 1/a^n

• Power of Products Property

Tags

CCSS.8.EE.A.1

Multiply two powers with the same base, keep the common base and add the exponents.

• Product of Powers Property

• Power of Products Property

• Power of Powers Property

• Quotient of Powers Property

• Negative Exponent Property

Tags

CCSS.8.EE.A.1