Evaluate :

1. 4/(216) to the power of -2/3 + 1/(256) to the power of -3/4 + 2/(243) to the power of -1/5.

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Solution

4/(216) to the power of -2/3 = 4/(36)^-1

=4×36=144
and
1/(256) to the power of -3/4 =1/(64)^-1
=64

2/(243) to the power of -1/5.=6

144+64+6=214

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Similar questions

\frac{4}{(216)^{- \frac{2}{3}}} + \frac{1}{(256)^{- \frac{4}{4}}} + \frac{4}{(243)^{- \frac{1}{5}}}

\frac{1}{{(216)}^{\frac{- 2}{3}}} + \frac{1}{{(256)}^{\frac{- 3}{4}}} + \frac{1}{{(243)}^{\frac{- 1}{5}}}

Simplify $\frac{4}{{(216)}^{- 2 / 3}} + \frac{1}{{(256)}^{- 3 / 4}} + \frac{2}{{(243)}^{- 1 / 5}}$

\frac{4}{(216)^{- \frac{2}{3}}} + \frac{1}{(256)^{- \frac{3}{4}}} + \frac{2}{(243)^{- \frac{1}{5}}}

\frac{4}{{(216)}^{\frac{- 2}{3}}} + \frac{1}{{(256)}^{\frac{- 3}{4}}} + \frac{2}{{(243)}^{\frac{- 1}{5}}}

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