Introduction to Power Rules

Which expression is equivalent to the given?

• -x⁷

• x⁷

• -x¹²

• x¹²

Simplify the following expression:

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

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

Simplify.

THIS IS PRODUCT RULE!

m⁵⋅m²

• m⁷

• m³

• m¹⁰

• m²

Simplify the expression.

THIS IS QUOTIENT RULE!

• y¹⁵

• y⁵⁰

• y²

• y⁵

Simplify the following expression:

(2x³y)⁶

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

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify (3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

(2⁸)²

• 2¹⁶

• 2¹⁰

• 2⁶

• 2⁴