Exponent rules

When using the Power to a Power rule, what are you supposed to do with the exponents? ex.  $\left(x^9\right)^{12}$  

• Add the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Make it  $12x^9$  

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

ex.  $\frac{\text{}y^6}{\text{}y^3}$  

• Divide

• Add

• Multiply

• Subtract

Select ALL that are correct.

Simplify the following:  $\left(2x^4y^{-3}\right)^{-1}$  

•  $2^{-1}x^{-4}y^3$  

•  $-\frac{2}{x^4y^3}$  

•  $\frac{1}{2x^4y^3}$  

•  $\frac{y^3}{2x^4}$  

Simplify the following
(no negative exponents):
 $\frac{\left(-14\right)^6}{\left(-14\right)^9}$  

•  $\left(-14\right)^{-3}$  

•  $\frac{1}{\left(-14\right)^{15}}$  

•  $\frac{1}{\left(-14\right)^3}$  

•  $\left(-14\right)^{54}$  

Simplify the following
(no negative exponents):

 $\frac{xy^7}{x^3y^4}$  

•  $x^4y^{11}$  

•  $x^3y^{28}$  

•  $\frac{y^3}{x^2}$  

•  $\frac{x^4}{y^{11}}$  

 Simplify the following
(no negative exponents):

 $\left(-10a^3\right)^0$ 

•  $-10a^3$  

•  $1$  

•  $0$  

• undefined

 $w^{15}\ \cdot\ \frac{1}{w^5}$  

• w¹⁰

• w²⁰

• w³

•  $\frac{1}{w^{75}}$  

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²

Using exponents, simplify the following expression:

(f^-6)(f¹⁰)

• f¹⁶

• f⁴

• 1/f⁴

• 1/f¹⁶

Using exponents, simplify the following expression:

z^-3 * z⁶ * z^-3

• 1

• z⁶

• z⁵⁴

• 1/z⁶