Describe how to transform:
(6radicalx^5)^7
into an expression with a rational exponent. make sure you
respond with complete sentences. (10 points)

i’ll vote you brainliest : )

Step-by-step explanation:

The expression to transform is:

Let's work first on the inside of the parenthesis.

Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:

Therefore

Now let's replace with which is the algebraic form we are given inside the 6th root:

Now use the property that tells us how to proceed when we have  "exponent of an exponent":

Therefore we get:  

Finally remember that this expression was raised to the power 7, therefore:

" alt="(\sqrt[6]{x^5})^7=(x^\frac{5}{6})^7=x^\frac{35}{6}" />" />

An use again the property for the exponent of a exponent: