Product Exponent

The product rule states that when multiplying powers with the same base __________________ the exponents.

• subtract

• add

• multiply

• divide

Simplify the expression:

c⁴⋅c³=

• c¹²

• c¹

• c⁷

Simplify the expression: 3x²⋅x²=

• 3x

• 3x²⁺²

• 3x⁴

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶²³

• r¹¹

• 11r

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Using exponents, simplify the following expression: (f^-6)(f¹⁰)

• f¹⁶

• f⁴

• 1/f⁴

• 1/f¹⁶

Simplify using the product rule: x³y²x³=

HINT: only combine LIKE bases.

• x⁶y²

• xy⁸

• x³y⁵

Simplify the following expression:

(x²)(x⁵)

• x⁷

• x¹⁰

• x²⁵

• x³

Simplify the following expression:

2x³y⁵ ⋅ 5xy²

^{HINT: Remember when a variable does not have an exponent, the invisible exponent there is a 1}

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰