Power Rule

Exponents:
The Power Rule

Raising monomials by a power

Multiple Choice

According to exponent rules, when we simplify (x²)⁵ we _______ the exponents.

• add

• subtract

• multiply

• divide

Multiple Choice

Which expression is equivalent to (cx^a)^b?

**Think: Algebraic Notation**

• cx^ab

• c^abx^ab

• c^bx^ab

• cbx^ab

Multiple Choice

Simplify (x⁵)⁶

• x³⁰

• x¹¹

• x

• 6x¹¹

Multiple Choice

Simplify the following expression:

(x⁵)⁴

• x⁹

• x²⁰

• x

• x⁵⁴

Multiple Choice

(2x⁵)³

• 8x⁸

• 8x¹⁵

• 6x¹⁵

• 6x⁸

Multiple Choice

Simplify (4y⁴)³

• 64y¹²

• 64y⁷

• 12y¹²

• 7y⁷

Multiple Choice

Simplify the following expression:

(b³)⁸

• b¹¹

• 8b³

• b²⁴

• 24b

Multiple Choice

(3y⁴)²

• 9y⁸
• 9y⁶
• 6y⁸
• 6y⁶

Multiple Choice

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)
• 2(x)(x)(x)
• 2x + 2x + 2x
• 2x⋅3

Multiple Choice

Simplify the following expression:

(2x³y)⁶

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

**Think: What is the exponent for y?**

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Multiple Choice

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Multiple Choice

Simplify. $$\left(5y^3z^2\right)^5$$  

• $$5^5y^{15}z^{10}$$  

• $$5^5y^8z^7$$  

Multiple Choice

Simplify. $$\left(2cd^2\right)^4$$  

Think: What is the exponent for c?

• $$2^4c^4d^6$$  

• $$2^4c^4d^8$$