sqrt[5]{-\left(\begin{matrix}1 \ 243\end{matrix} ight)} Simplify

Question

sqrt[5]{-\left(\begin{matrix}1 \ 243\end{matrix}ight)}  Simplify

anonymous · Answer

$$\sqrt[5]{-\left(\begin{matrix}1 \ 243\end{matrix}\right)}$$

anonymous · Answer

-1/243 should be a fraction sorry it did not show up

anonymous · Answer

= -1 / 5th root of 243

anonymous · Answer

use ur calculator

anonymous · Answer

$$-\left(\begin{matrix}1 \ 5\sqrt{243}\end{matrix}\right)$$

anonymous · Answer

My calculator tells me error.  P.O.crap anyway, lol

jim_thompson5910 · Answer

$$\sqrt[5]{\frac{-1}{243}}$$

$$\sqrt[5]{\frac{(-1)^5}{(3^5)}}$$

$$\sqrt[5]{\left(-\frac{1}{3}\right)^5}$$

$$-\frac{1}{3}$$


So $$\sqrt[5]{\frac{-1}{243}}=-\frac{1}{3}$$


You're getting an error probably because some calculators don't like negatives in roots

anonymous · Answer

Oh ok, is it stil -1/3 if the whole fraction is negative?

anonymous · Answer

take 5th  root of 243 and place - in front

anonymous · Answer

That's probably a dumb question sorry

jim_thompson5910 · Answer

yes the answer is -1/3 because the fraction is negative.

anonymous · Answer

thats ok
yes the answer is -1/3

jim_thompson5910 · Answer

no not a dumb question at all

anonymous · Answer

Thank you both, I feel really dumb that I can not figure this stuff out