Question

Evaluate.

Answer 1

Can you write these roots as fractional exponents? I think it is easier to work with in that form.

Answer 2

what do you mean?

Answer 3

If you write the roots as fractional exponents, you can simplify using the rules of exponents.\[\sqrt[a]{x^{b}}=x ^{\frac{ b }{ a }}\]

Answer 4

idk how to do that all it says is to evaluate that and the answers are
5^-1/6
5^3/2
5^5/2
5^-5/6

Answer 5

Ok, great! The answers are in fractional exponents, so you don't have to convert back.

Answer 6

Using the formula I gave you, I'll give you an example:
\[\sqrt{5}=5^{\frac{ 1 }{ 2 }}\]
because the root is 2 and the exponent of 5 is 1.

Answer 7

Can you substitute that into your problem?

Answer 8

idk how to do that ?

Answer 9

\[\frac{ \sqrt[3]{5} 5^{\frac{ 1 }{ 2 }}}{ \sqrt[3]{5^{5}} }\]
Like this.

Answer 10

Make sense?