Rational Indices & Radical equations

4^-½ =

• 2^-1

• -2

• -½

• $\sqrt{2}$

8^⅓ can also be written as

• $^8\sqrt{3}$

• $^3\sqrt{8}$

• 512

• 8.333

Tags

CCSS.HSN.RN.A.2

Re-write the expression in radical form.

x^2/3

• $^3\sqrt{x^2}$

• $\sqrt{x^3}$

• $\frac{1}{x^{\frac{3}{2}}}$

• $3\sqrt{x^2}$

 Write in exponential form
 $^3\sqrt{x^7}$  

•  $x^{\frac{7}{3}}$  

•  $x^{\frac{3}{7}}$  

• 3x⁷

• 7x³

14

• a
• b
• c
• d

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Write the expression in exponential form: $^3\sqrt{\left(2x\right)^2}$  

•  $2x^{\frac{2}{3}}$  

•  $\left(2x\right)^{\frac{3}{2}}$  

•  $2x^{\frac{3}{2}}$  

•  $\left(2x\right)^{\frac{2}{3}}$  

Which is greater, 2654⁰ or 5⁰?

• 2654⁰

• 5⁰

• They are the same

• Impossible to say

Write as a single power:  $\left(4^7\ \times\ 4^3\right)\ \div4^4$  

• 46

•  $4^{17}$  

•  $4^6$  

•  $4^{5.25}$  

What is the value of 27^⅓?

• 27
• 9
• 3
• 1/3

The expression simplified is:

• 16

• $2^5$

• $\left(4^2\right)^{\frac{5}{3}}$

• $2^{\frac{5}{9}}$