Question

help please.

Answer 1

\[(\sqrt[3]{x}^{4})^{5}\]

Answer 2

i know the answer for that would be \[x^{20/3}\]

Answer 3

i wanna know if theres a way to simplyfy it or if thats the final answer

Answer 4

this is the actual question
Describe how to transform the quantity of the third root of x to the fourth power, to the fifth power into an expression with a rational exponent. Make sure you respond with complete sentences.

Answer 5

not complete sentences. but i wanna know the final answer

Answer 6

i will give a best response

Answer 7

@satellite73

Answer 8

First, the quantity third root of x to the fourth power can be read as x raise to 4/3. If this quantity is raised to five, according to the rule of exponents, you must multiply 4/3 to 5. This is why it would be x raise to 20/3. @henryarias5

Answer 9

would that be the final answer?

Answer 10

Yes. the exponent is already in rational expression (expressed in fraction) :) x^20/3

Answer 11

thank you!

Answer 12

when working with exponents and radicals, there is an operation that looks like this:
\[\sqrt[n]{x}^m = \sqrt[n]{x^m} = x^{m/n}\]
(I wrote this then saw Mr. NiceGuy27's response, so here it is anyways..

Answer 13

thankyou too!