Describe how to transform this into an expression with a rational exponent. make sure you respond with complete sentences.

you !

Rational exponent is an exponent that is fractional in form. Let us dissect this one by one.

An n root means that the number or the variable has a power raised 1 / n. For example, if we have a square root of x, this means that x^(1/2).

So in this case since this is cube root, therefore our total variable is raised to the power of 1 / 3.

Since it is also raised to the power of 5, therefore the total power is 5 / 3. This makes the variable in the form:

(x^4)^(5 / 3)

To simplify this further, our variable x is raised also to the power of 4, therefore we multiply the powers. Which simplify this further into:

x^20 / 3

x ^ (20 / 3) 
or

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

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