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Rewrite the following expressions: exponential form to radical form and vice versa.
1.(3x)^1/3
2.(x)^2/3
3.(81)^1/4
4.square root of 64
5.cube root of 8m


Sagot :

• 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]