Question

Simplify : $\left[\right\{(-5{)}^5\times (-5{)}^{-10}\}÷2^5]\times {10}^5$

Answer 1

$\left[\right\{(-5{)}^5\times (-5{)}^{-10}\}÷2^5]\times {10}^5$

$=\left[\right\{(-5{)}^{(5-10)}\}÷2^5]\times {10}^5$

$=\left[\right(-5{)}^{-5}\times 2^{-5}]\times {10}^5$

$=\left[\right(-1{)}^{-5}(5{)}^{-5}\times 2^{-5}]\times {10}^5$

$=(-1)\left[\right(10{)}^{-5}\times {10}^5]$

$=-1$