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

1.	\(\frac{1}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^\frac{-3}{4}}+\frac{1}{(243)^{\frac{-1}{5}}}\) is equal to(a) 103 (b) 105 (c) 107 (d) 101
Answer» (a) 103 Given exp. = \(\frac{1}{{(6^3)}^{-\frac{2}{3}}}+\frac{1}{(4^4)^{-\frac{3}{4}}}+\frac{1}{(3^5)^{-\frac{1}{5}}}\) = \(\frac{1}{6^{-2}}+\frac{1}{4^{-3}}+\frac{1}{3^{-1}}\) = 6² + 4³ + 3 = 36 + 64 + 3 = 103

\(\frac{1}{(216)^{\frac{-2}{3}}}+\frac{1}{(256)^\frac{-3}{4}}+\frac{1}{(243)^{\frac{-1}{5}}}\) is equal to(a) 103 (b) 105 (c) 107 (d) 101

Answer»

(a) 103

Given exp. = \(\frac{1}{{(6^3)}^{-\frac{2}{3}}}+\frac{1}{(4^4)^{-\frac{3}{4}}}+\frac{1}{(3^5)^{-\frac{1}{5}}}\)

= \(\frac{1}{6^{-2}}+\frac{1}{4^{-3}}+\frac{1}{3^{-1}}\)

= 6² + 4³ + 3 = 36 + 64 + 3 = 103