Power of a Power

When you have a power to a power, you ____________ the exponents.

• add

• multiply

• subtract

• divide

(5x⁴)⁶

• 5x¹⁰

• 5x²⁴

• ⁵⁶x¹⁰

• 5x10

What is (3x²y⁴)³

• 3³x⁶y¹²

• 6x⁶y¹²

• 3x⁵y⁷

• 3x⁶y¹²

 $4^{-1}$   is.........

• $\frac{1}{4}$

• 4

• -4

• $\frac{1}{-4}$

When you have a multiplication problem with exponents, you ___________ the exponents ex: x²(x⁴)

• ADD

• SUBTRACT

• MULTIPLY

(6m)(2m²)

• 3m³

• 12m³

• 8m²

• 6m²

When you have a division problem with exponents, you _____________ the exponents (ex  $\frac{x^{12}}{x^2}$  )

• ADD

• SUBTRACT

• DIVIDE

Simplify: $\frac{8x^{10}}{2x^3}$  

•  $4x^7$  

•  $-4x^7$  

•  $3x^{13}$  

•  $12x^{30}$  

 $\left(x^2\right)^4$  

•  $x^8$  

•  $x^6$  

• 4x

• 8x

 $\frac{\left(x^2\right)^4}{x^{-2}}$  

•  $\frac{x}{x^2}$  

•  $\frac{x^8}{x^{-2}}$  

•  $\frac{1}{x^{-10}}$  

•  $x^{10}$