Question

Evaluate : $7^0\times (25{)}^{-\frac{3}{2}}-5^{-3}$

Answer 1

$\Rightarrow 7^0\times (25{)}^{-\frac{3}{2}}-5^{-3}$
$\because 7^0=1$
So, $1\times (25{)}^{-\frac{3}{2}}-5^{-3}$
$\Rightarrow \frac{1}{{\left(5^2\right)}^{\frac{3}{2}}}-\frac{1}{5^3}$
$\Rightarrow \frac{1}{\left(5^{2.\frac{3}{2}}\right)}-\frac{1}{5^3}$
$\Rightarrow \frac{1}{5^3}-\frac{1}{5^3}=0$