exponent rules

-3xy³ . (4xy)²

• -12x³y⁵
• -48x²y⁴
• -48x³y⁵
• -12x²y⁶

15y² . (2y)³

• 120y⁵
• 120y⁶
• 30y⁵
• 30y⁶

9n⁴ . 6n⁷

• 15n¹¹
• 54n²⁸
• 3n³
• 54n¹¹

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  $12x^9$  

Simplify the following:  $\left(4x^3\right)^4$  

•  $16x^7$  

•  $4^4x^7$  

•  $256x^{12}$  

•  $16x^{12}$  

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

Simplify the following:  $\frac{2v^5}{8v^3}$  

•  $\frac{v^2}{4}$  

•  $4v^2$  

•  $-6v^8$  

•  $6v^8$  

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):
 $\frac{-48c^2d^4}{8cd}$  

•  $-40cd^3$  

•  $-40c^3d^5$  

•  $\frac{c^3d^5}{6}$  

•  $-6cd^3$  

Simplify the following
(no negative exponents):

 $\frac{xy^7}{x^3y^4}$  

•  $x^4y^{11}$  

•  $x^3y^{28}$  

•  $\frac{y^3}{x^2}$  

•  $\frac{x^4}{y^{11}}$