## Which of the following represents fourth root of x cubed in exponential form? x to the three fourths power x to the four thirds power 4x

Question

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## Answers ( No )

Given: Fourth root of x cubedTo Find: The corresponding mathematical expressionSolution: The correct representation of the given statement is x to the three fourths power, i.e.Explanation:The given statement is “fourth root of x cubed”. We will take the statement step wise to construct the correct expression.

“Fourth root of x” corresponds to the expression .

This may also be written as .

Then, “fourth root of x cubed” means we have to cube the above ecpression, i.e., add the exponent 3.

So we will have .

Using the

Rule of Exponentsthat for any integers a and b, , we can saySo

the correct representation of the given statement is x to the three fourths power.