4th Root of (81^-2) Simplification

🎥 Watch Video Solution


Q. \( \sqrt[4]{(81)^{-2}} \)

✏️ Solution

\( = (81^{-2})^{\frac{1}{4}} \)

\( = 81^{-\frac{2}{4}} \)

\( = 81^{-\frac{1}{2}} \)

\( = (9^2)^{-\frac{1}{2}} \)

\( = 9^{-1} \)

\( = \frac{1}{9} \)

\( \boxed{\frac{1}{9}} \)

Next Question / Full Exercise

Spread the love

Leave a Comment

Your email address will not be published. Required fields are marked *