Question

Simplify
$8^{\frac{2}{3}}-\sqrt{9}\times 10+\left(\frac{1}{144}\right)$

Answer 1

$8^{\frac{2}{3}}-\sqrt{9}\times 10+\frac{1}{144}$

$={\left(2^3\right)}^{\frac{2}{3}}-3\times 10+\frac{1}{144}$

$=2^2-30+\frac{1}{144}$

$=4-30+\frac{1}{144}$

$=-26+\frac{1}{144}$

$=\frac{-75479040+1‬}{144}=\frac{75479039‬}{144}$