Question

PLEASE HELP! WILL MEDAL!
Rewrite the rational exponent as a radical.

(5^3/4)^2/3

answers:
http://prntscr.com/b8i2zj

Answer 1

\[\huge b^{\frac{m}{n}}=\sqrt[n]{b^m}\]

Answer 2

Could you help understand what i am supposed to do?

Answer 3

@neonclawzz the first thing you need to use is this rule

\[\Large \left(x^y\right)^z = x^{y*z}\]

For example,

\[\Large \left(x^3\right)^4 = x^{3*4}=x^{12}\]

Answer 4

I think i just got it. It's 5 squared correct?

Answer 5

not 5 squared, but you're very close

Answer 6

did you mean square ROOT of 5?

Answer 7

YES sorry!

Answer 8

yes \(\LARGE \sqrt{5}\) is the final answer. Nice job.

Answer 9

After using the rule I posted, you should get 1/2 as an exponent

Then we use the rule @satellite73 wrote out

\[\huge b^{\frac{m}{n}}=\sqrt[n]{b^m}\]

\[\huge 5^{\frac{1}{2}}=\sqrt[2]{5^1}\]

\[\huge 5^{\frac{1}{2}}=\sqrt[2]{5}\]

\[\huge 5^{\frac{1}{2}}=\sqrt{5}\]

Answer 10

Thank you for the help :>

Answer 11

no problem