Question

The value of $(0.000064{)}^{\frac{2}{3}}÷(0.0016{)}^{\frac{3}{4}}$ is

Answer 1

We have,

${\left(0.000064\right)}^{2/3}÷{\left(0.0016\right)}^{3/4}$

$\Rightarrow \frac{{(64\times {10}^{-6})}^{2/3}}{{(16\times {10}^{-4})}^{3/4}}$

$\Rightarrow \frac{{(4^3\times {10}^{-6})}^{2/3}}{{(4^2\times {10}^{-4})}^{3/4}}$

$\Rightarrow \frac{4^{3\times 2/3}\times {10}^{-6\times 2/3}}{(4^{2\times 3/4}\times {10}^{-4\times 3/4})}$

$\Rightarrow \frac{4^2\times {10}^{-4}}{(4\times 2\times {10}^{-3})}$

$\Rightarrow 2\times {10}^{-1}$

$\Rightarrow 0.2$

Hence, this is the answer.