{√( 1 (27) ^ 4 #160; ) #160; } #160; ^ 3 2 #160; {√( ( 3 ^ 3 ) ^ 4 ) #160; } #160; ^ 3 2 #160; ( 3 ^ 4 ) ^ 3 2 #160; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Cube-Root of Fractional Numbers

Solve : √12...

Question

Solve : ${\sqrt[3]{\frac{1}{(27)^{- 4}}}}^{- \frac{3}{2}}$

Open in App

Solution

${⎧ ⎨ ⎩ \sqrt[3]{\frac{1}{{(27)}^{- 4}}} ⎫ ⎬ ⎭}^{\frac{- 3}{2}} {⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \sqrt[\frac{1}{3}]{{(3^{3})}^{4}} ⎫ ⎪ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎪ ⎭}^{\frac{- 3}{2}} {(3^{4})}^{\frac{- 3}{2}} {(\frac{1}{81})}^{\frac{3}{2}} {(\frac{1}{3^{\frac{4}{2}}})}^{3} = {(\frac{1}{3^{2}})}^{3} (\frac{1}{729})$

Suggest Corrections

Similar questions

Solve:

[[5×{(−3)×(−4)}]÷{27 + (−14−3)}][[3×{(−4)×(−5)}]÷{27+(−13−4)}]
+[{27×(−2)}÷(−3−3)] + [{27×(−2)}÷(−3−3)]
+[{(−3)×(−3)×5}÷(−3)]]

\frac{3 \times 9^{\frac{1}{3}} \times 27^{- \frac{1}{2}}}{3^{\frac{1}{6}} \times 3^{- \frac{2}{3}}}

\frac{9^{\frac{1}{3}} \times 27^{\frac{- 1}{2}}}{3^{\frac{1}{6}} \times 3^{\frac{- 2}{3}}}

\sqrt{{(\frac{3}{4})}^{1 - 3 x}} = 2 \frac{10}{27}

Solve for $x$

$3^{4 x + 1} = 27^{x + 1}$

Join BYJU'S Learning Program