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 4x3 3x4

Given: Fourth root of x cubed

To Find: The corresponding mathematical expression

Solution: 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 Exponents that for any integers a and b, , we can say

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