Exponents and Radical Intro

Simplify:

 $\left(x^3\right)^5$  

•  $x^8$  

•  $x^{15}$  

•  $x^2$  

•  $5x^3$  

What operation do you use to combine the exponents in this example?

 $\left(y^5\right)^2$  

• Addition

• Subtraction

• Multiplication

• Division

Simplify:

 $\left(m^3n^4\right)^6$  

•  $m^{18}n^{24}$  

•  $6m^36n^4$  

•  $m^9n^{10}$  

Simplify:

 $\left(\frac{3}{4}\right)^2$  

•  $\frac{6}{8}$  

•  $\frac{9}{16}$  

•  $\frac{9}{4}$  

Simplify:

 $\left(4x^5y^2\right)^3$  **Hint: put the number raised to a power in your calculator**

•  $4x^{15}y^6$  

•  $64x^{15}y^6$  

•  $4x^8y^5$  

•  $12x^{15}y^5$  

Simplify:

 $\left(\frac{x^2y}{z^4}\right)^5$  

•  $\frac{x^7y^5}{z^4}$  

•  $\frac{5x^2y^5}{z^{20}}$  

•  $\frac{x^{10}y^5}{z^4}$  

•  $\frac{x^{10}y^5}{z^{20}}$  

Simplify:

 $\left(7x^6y^9\right)^{-2}$  

•  $-7x^{-12}y^{-18}$  

•  $\frac{1}{49x^{12}y^{18}}$  

•  $49x^4y^7$  

Simplify:

 $\left(\frac{2x^4}{y^7}\right)^3$  

•  $\frac{6x^{12}}{y^{21}}$  

•  $\frac{8x^{12}}{y^{21}}$  

•  $\frac{8x^7}{y^{10}}$  

List all of the perfect squares you know. For example,  $\sqrt{4}=2\ because\ 2\times2=4$  

What is $\sqrt{25}$  

• 25

• 5

• 10

• 2