8.1 Intro to Multiplication Properties of Exponents

According to exponent rules, when we multiply exponents that have the same base, we _______ the exponents.

• add

• subtract

• multiply

• divide

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

(3xy²z³) (3x³y⁵z²)

*Product of Power (+)

*Power of Power (x)

• 9x²y⁵z⁶

• 9x⁴y⁷z⁵

• 9x⁵y⁶z⁸

• 9x³y⁶z⁷

Simplify.

(6a⁵b²)(3ab⁷)

*Product of Power (+)

*Power of Power (x)

• 18a⁵b¹⁴

• 18a⁵b⁷

• 18a⁶b⁹

• 12a⁶b⁹

(-4x⁴y²z³)(7x²y)

• -28x⁸y⁴z³

• -11x⁶y³z³

• -28x⁶y³z³

• -21x⁶y³z³

(2x³y)⁶

*Product of Power (+)

*Power of Power (x)

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify

(2a²b⁴z)(6a³b²z⁵)

*Product of Power (+)

*Power of Power (x)

• 12a⁵b⁵z⁴

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

• -5⁴

• (-5)⁴

• 4^-5

• 4^(-5)

(-2u²)(6u⁶)

*Product of Power (+)

*Power of Power (x)

• -12u⁸

• -12u¹²

• -4u⁸

• -4u¹²