Question

Simplify and write in exponential form
$(-2{)}^{-3}\times (-2{)}^{-4}$

Answer 1

We have,

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

$\Rightarrow \frac{1}{{(-2)}^3}\times \frac{1}{{(-2)}^4}[\because {\left(a\right)}^{-n}=\frac{1}{a^n}]$

$\Rightarrow \frac{1}{{(-2)}^7}[\because {\left(a\right)}^m\times {\left(a\right)}^n={\left(a\right)}^{m+n}]$

$\Rightarrow -\frac{1}{128}$

Hence, this is the answer.