RATIONAL EXPONENTS AND RADICALS

What is the simplified form of What is the simplified form of 

 $\left(4^{\frac{1}{2}}5^{-2}6^1100^{-1}\ \frac{3}{4^{-1}}\right)^0$  

• 0

• 1

•  $\frac{36}{625}$  

•  $\frac{144}{2500}$  

Tags

CCSS.HSN.RN.A.2

Which of the following is TRUE?

• $8^{\frac{1}{2}}+8^{\frac{1}{3}}=8^5$

• $\frac{3^{\frac{1}{4}}}{3^{\frac{1}{5}}}=3^{\frac{2}{9}}$

• $\left(3^{\frac{1}{3}}\right)^2=3^{\frac{2}{6}}$

• $4^{-2}=\frac{1}{16}$

Tags

CCSS.HSN.RN.A.2

What is the equivalent expression in exponential notation?                                   

•  $6^8$  

•  $6^{\frac{1}{8}}$  

•  $2^{\frac{1}{5}}+4^{\frac{1}{3}}$  

•  $5^{\frac{1}{2}}+3^{\frac{1}{4}}$  

Tags

CCSS.HSN.RN.A.2

Which of the following radical equations will have x = 3 as a solution?

• $\sqrt{x}-2+3\ =0$

• $\sqrt{4x-3}=6-x$

• $\sqrt{x}=9$

• $3\sqrt{x}=3$

What is the result when you simplify the expression?

• 0

• $12\sqrt{3}$

• $0\sqrt{3}$

• 18

What is the value of 

• 1

• 3

• 9

• 27

What is the index in the radical expression?

• 1

• 2

• 5

• 8

In a radical expression, what is the index when it is not written?

• 0

• 1

• 2

• unable to determine

Which of the following expressions is equivalent to $\sqrt{6t}$  ?

•  $\left(6t\right)^{\frac{1}{2}}$  

•  $6t^{\frac{1}{2}}$   

•  $\frac{1}{6t^2}$  

•  $\left(6t\right)^2$  

If an expression with rational exponents is rewritten in radical form, what does the base of the expression become?

• radicand

• index of the radicand

• power of the radicand

• none of the above