Question

What is the exponential form of ∛(5^4 ) ?

Answer 1

Answer:

=1/3(5^4)

=5^4/3

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Answer 2

Given,

the term $\sqrt[3]{5^{4} }$

To Find,

the exponential form of the given term $\sqrt[3]{5^{4} }$ .

Solution,

$\sqrt[3]{5^{4} } = [{5^{4} }]^{\frac{1}{3} }$

$[{5^{4} }]^{\frac{1}{3} }= [5]^{(4)(\frac{1}{3}) }$                        ( using rule, $(a^{x})^{y}=a^{xy}$ )

$[5]^{(4)(\frac{1}{3}) }= [5]^{(\frac{4}{3}) }$

Hence the exponential form of $\sqrt[3]{5^{4} }$ is $[5]^{(\frac{4}{3}) }$ .