Quiz 11.2 and 11.3 Rational Exponents and Radical Equations

Solve the equation, check solutions

 $\sqrt{100-24n}=\sqrt{n}$  

• 4

• -4

• -4 and 4

• no solution

Solve the equation, check solutions.

 $r=\sqrt{-2-2r}$  

•  $-3\ and\ 3$  

• no solution

• 3

• -3

Solve the equation, check solutions.

 $\sqrt{-16+10a}=a$  

• 8

• 2

• no solution

• 2 and 8

Solve the equation, check solutions. 
 $26=-1+\left(27x\right)^{\frac{3}{4}}$  

• 27

• -3

• 81

• 3

Solve the equation, check solutions.

 $\left(n-17\right)^{\frac{3}{2}}=64$   

• 2

• 4

• 33

• -4

(5³x²y⁴)⁰

• 5xy

• 1

• 0

• 5

 $\left(\frac{1}{243}\right)^{-\frac{3}{5}}$  

Simplify.

• 21

• -27

• 27

• -21

Write the following expression in radical form:


 $23^{\frac{1}{2}}$  

•  $\sqrt{23}$  
  

•  $\sqrt{23^2}$  

•  $\frac{1}{\sqrt{23}}$  

•  $-\sqrt{23}$  

Write the following expression in exponential form:


 $fifth\ root\ of\ 6\ to\ the\ first\ power$  

•  $5^6$  

•  $5^{\frac{1}{6}}$  

•  $6^5$  

•  $6^{\frac{1}{5}}$  

Simplify.


 $8^{\frac{1}{3}}\cdot64^{\frac{1}{3}}$  

•  $8$  

•  $\frac{1}{2}$  

•  $16$  

•  $\frac{1}{8}$