Question

The value of $\left[\frac{1}{{\left(216\right)}^{-\frac{1}{3}}}+\frac{1}{{\left(256\right)}^{-\frac{1}{4}}}+\frac{1}{{\left(32\right)}^{-\frac{2}{5}}}\right]$

• A. 16
• B. 14
• C. 22
• D. 12

Answer 1

The correct option is B

14

$\begin{array}{c}=\left[{\left(216\right)}^{\frac{1}{3}}+{\left(256\right)}^{\frac{1}{4}}+{\left(32\right)}^{\frac{2}{5}}\right]\\ =\left[{\left(6^3\right)}^{\frac{1}{3}}+{\left(4^4\right)}^{\frac{1}{4}}+{\left(2^5\right)}^{\frac{2}{5}}\right]\\ =\left[6+4+2^2\right]\\ =14\end{array}$