Question

Explain, in complete sentences, how you would divide the following expression:
eleventh root of x to the fifth power over eighth root of x to the third power.
Write the simplified answer in radical form.

Answer 1

Subtract the terms in the denominator from the nominator.

Answer 2

I don't know how :/

Answer 3

@JessieJakeway

so we have

a root is just an exponent division. so the xth root on n is n^(1/x)

so your numerator is.

\[x^{5/11}\]
and your denominator is

\[x^{3/8}\]

Answer 4

@singlesixx

Answer 5

I stil don't understand @tomo

Answer 6

which part?

Answer 7

any of it....

Answer 8

well you can write any root like this


say you have the 11th root of x. this is x^(1/11)

Answer 9

x^(1/11) is x to the first power which is just x with an 11th root.

Answer 10

Can you answer the question for me in complete sentences... ? :)

Answer 11

first start by re-writing the equation so that you just have exponents.

\[\frac{x^{5/11}}{x^{3/8}}\]
then move the term in the denominator to the numerator by making it negative.
\[x^{5/11}*x^{-3/8} \]
then use exponent addition, which in this case is 5/11+(-3/8) which is just 5/11-3/8
\[x^{5/11-3/8} = x^{7/88}\]

Answer 12

Thank you @tomo

Answer 13

you're welcome