Question

Simplify $\frac{4}{{2187}^{\frac{-3}{7}}}-\frac{5}{{256}^{\frac{-3}{4}}}+\frac{4}{{\left\{{\left[1331\right]}^2\right\}}^{\frac{-1}{3}}}$

Answer 1

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

$=\frac{4}{3^{7\times (-3/7)}}-\frac{5}{4^{4\times (-3/4)}}+\frac{4}{{\left(121\right)}^{3\times (-1/3)}}$

$=\frac{4}{3^{-3}}-\frac{5}{4^{-3}}+\frac{4}{{\left(121\right)}^{-1}}$

$=(4\times 27)-(5\times 64)+(4\times 121)$

$=272$ Ans