• Instructions:
Rewrite the following expressions: exponential form to radical form and vice versa.
• Answers:
1. (3x)^1/3
[tex] \large \boxed{ \tt(3x)^{ \frac{1}{3} }= \sqrt[3]{3x}}[/tex]
2. (x)^2/3
[tex] \large \boxed{ \tt(x)^{ \frac{2}{3} }= \sqrt[3]{x {}^{2} }}[/tex]
3. (81)^1/4
[tex] \large \boxed{ \tt(81)^{ \frac{1}{4} }= \sqrt[4]{81} = \sqrt[4]{3 {}^{4} } = 3 }[/tex]
4. square root of 64
[tex] \large \boxed{ \tt \sqrt{64} = 64 {}^{ \frac{1}{2} } = 8 }[/tex]
5. cube root of 8m
[tex] \large \boxed{ \tt \sqrt[3]{8m} = (8m) {}^{ \frac{1}{3} } }[/tex]
