Understanding and applying the laws of exponents to numerical expressions (rational exponents)

 $\left(cubed\right)\ \sqrt{1728}$  

cube root

• A mathematical operation that finds the number that, when multiplied by itself three times, gives the original number
• A mathematical operation that finds the number that, when multiplied by itself twice, gives the original number
• A mathematical operation that finds the number that, when multiplied by itself four times, gives the original number
• A mathematical operation that finds the number that, when divided by itself three times, gives the original number

 $Simplify:\ \ \ \ \ 2\sqrt{25}-4^2+\sqrt{36}$  

Simplify without a calculator:  $125^{-\frac{1}{3}}$  

•  $-\frac{1}{5}$  

•  $-\ 5$  

•  $\frac{1}{5}$  

•  $5$  

Evaluate the following expression for z = 122

 $10+9\sqrt{z-1}$  

• 109

• 118

• 209

• 100

• base

• exponent

• root

• power

Simplify. Assume that all variables are positive.

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