Question

Solve : $\frac{4}{{\left(2187\right)}^{{}^{\frac{-3}{7}}}}-\frac{5}{{\left(256\right)}^{\frac{-1}{4}}}+\frac{2}{{\left({1331}^2\right)}^{\frac{-1}{3}}}$

Answer 1

We have,

$\frac{4}{{\left(2187\right)}^{{}^{\frac{-3}{7}}}}-\frac{5}{{\left(256\right)}^{\frac{-1}{4}}}+\frac{2}{{\left({1331}^2\right)}^{\frac{-1}{3}}}$

$\Rightarrow \frac{4}{{\left(3^7\right)}^{{}^{\frac{-3}{7}}}}-\frac{5}{{\left(4^4\right)}^{\frac{-1}{4}}}+\frac{2}{{({11}^3)}^{\frac{-2}{3}}}$

$\Rightarrow \frac{4}{3^{-3}}-\frac{5}{4^{-1}}+\frac{2}{{11}^{-2}}$

$\Rightarrow 4\times 3^3-5\times 4+2\times {11}^2$

$\Rightarrow 4\times 27-20+2\times 121$

$\Rightarrow 108-20+242$

$\Rightarrow 350-20=330$

Hence, this is the answer.