Simplify and write in exponential form.

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

Given:

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

To do:

We have to simplify and write the given expression in exponential form.

Solution:

We know that,

$a^m \times a^n = a^{m+n}$

Therefore,

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

$=(-2)^{-1}$

$=\frac{1}{(-2)^1}$     (Since $a^{-m}=\frac{1}{a^m}$)

$=\frac{-1}{2}$

\( (-2)^{3} \times(-2)^{-4} \) in exponential form is $(-2)^{-1}$.

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Updated on: 10-Oct-2022

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