Question

${\left(64\right)}^{2/3}+\sqrt[3]{3125}+3^o+\frac{1}{2^{-5}}+{\left(27\right)}^{-2/3}\times {\left(\frac{25}{9}\right)}^{-12}$

Answer 1

Let the problem

${\left(64\right)}^{2/3}+\sqrt[3]{3125}+3^o+\frac{1}{2^{-5}}+{\left(27\right)}^{-2/3}\times {\left(\frac{25}{9}\right)}^{-1/2}$

$={\left(4\times 4\times 4\right)}^{\frac{2}{3}}+\sqrt[3]{35^3}+1+2^5+\left(\frac{1}{{\left(3\times 3\times 3\right)}^{\frac{2}{3}}}\right)\times {\left(\frac{3^2}{5^2}\right)}^{\frac{1}{2}}$ $[\because x^0=1]$

$={\left(4\right)}^2+5+1+32+\left(\frac{1}{{\left(3\right)}^2}\right)\times \left(\frac{3}{5}\right)$

$=16+5+1+32+\frac{1}{15}$

$=54+\frac{1}{15}$

$=\frac{811}{15}$