Laws of Exponents Power of a Product Rule

Simplify:

12² x 2³ x 12⁵ x 2²

• 12⁷ x 2⁵

• 12¹⁰ x 2⁶

• 12⁵ x 2¹⁰

• 567⁶⁰

Simplify:

5³ x 5⁷ x 5²

• 5⁴²

• 15¹³

• 5¹²

• 125⁴²

Which of the following laws of exponent is applied in the expression \left(a^2b^3\right)^8\ =\ a^{16}b^{24} ?

• Product Rule

• Product of a power

• Quotient of a power

According to exponent rules, when we multiply powers we _______ the exponents.

• add

• subtract

• multiply

• x¹¹

• x¹⁸

• x⁷y

• x⁷

Write the product as one power. 
5⁵ * 5⁹

• 5¹⁴

• 5

• 25

• 5⁴

• A

• B

• C

• D

• 27

• 3

• 9

• 40

• 7

• 14

• 49

• 2

• 3x^-1y^-5

• 3x²y

• 3xy⁵

• -3x³y⁷