Question

write 27^-2/3 in radical notation. Evaluate radical expression

Answer 1

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

Answer 2

Write 27 as 3^3 and simplify.

Answer 3

\[\huge x^{-n} = \frac{ 1 }{ x^n }\]

Answer 4

So using these formulas you know that this is :
\[\huge \frac{ 1 }{ \sqrt[3]{27^2} }\]

Answer 5

From there just simplify.

Answer 6

I am horrible at this stuff. It looks like gibrish to me. so if i do 3^3 and that equals 27 its my answer?

Answer 7

\[\huge \frac{ 1 }{ \sqrt[3]{27^2} } = \frac{ 1 }{ \sqrt[3]{729} }\] Just simplify it.

Answer 8

What value multiplied by itself results in 729?..

Answer 9

by itself three times*

Answer 10

9

Answer 11

Correct.
So your resulting evaluated radical is
\[\huge \frac{ 1 }{ 9 }\]

Answer 12

that makes more sense now. thankyou