Exponent Rules for Multiplication and Power

• Power

• Multiplication

• Division

• Base

A property that states to multiply powers with the same base, add their exponents.

Also called the Product Rule.

• Product of Powers Property

• Power of a Power Property

• Exponent Rule

• Power Rule

A property that states to find the power of a power, multiply the exponents.

• Power of a Power Property

• Exponent of a Power Property

• Multiplication of a Power Property

• Division of a Power Property

A property that states to find the power of a product, find the power of each factor and multiply.

• Power of a Product Property

• Power of a Sum Property

• Power of a Difference Property

• Power of a Quotient Property

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Which shows the Power Rule used correctly? \left(ab\right)^5

Simplify the following expression:

(2x³y)⁶

**HINT: Distribute the exponent to all terms inside the parenthesis**

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶