Question

Can someone explain how to transform a radical into a rational exponent? :(

Answer 1

\[(\sqrt[6]{x^5})^7\] this is what i have to tranform into an expression with a rational exponent :(

Answer 2

@imqwerty

Answer 3

converting a radical into a rational exponent is nothing but removing the \(\sqrt{}\) sign from the expression

if you have something like this-
\(\Large \sqrt[\color{blue}a]{\color{red}b^\color{violet}c}\)

then it can be written like this- \(\Large \color{red}b^{\frac{\color{violet}c}{\color{blue}a}}\)

this is a helpful video which can help you grasp the topic better- https://www.youtube.com/watch?v=vLxij_nL1Xg
:)

in your question you have to convert \(\Large (\underbrace{\sqrt[\color{blue}6]{\color{red}x^\color{violet}5}})^7\)
1st you convert this part inside the bracket

and then you multiply the exponent with "\(7\)"

Answer 4

ooooh okay thats where it would start, that makes more sense reading it like that

Answer 5

yeah :)