Exponent Rules- Power to a Power

 $\left(x^2\right)^5$  Simplify

•  $x^7$  

•  $x^3$  

• 10

•  $x^{10}$  

Answer explanation

When you raise a power to a power, you multiply your exponents

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

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

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

•  $ab^5$  

•  $a^5b^5$  

•  $a^5b$  

•  $a^6b^6$  

Simplify.  $\left(m^3\right)^5$  

•  $m^8$  

•  $m^{15}$  

•  $8m$  

•  $15m$  

Simplify.  $\left(5y^3z^2\right)^5$  

•  $5^5y^{15}z^{10}$  

•  $5^5y^8z^7$  

Simplify.  $\left(2cd^2\right)^4$  

•  $2^4c^4d^6$  

•  $2^4c^4d^8$