Question

Solve -8x^18/4x^6 for steps of the product of two exponentials

Answer 1

Given:

The expression is:

$\dfrac{-8x^{18}}{4x^6}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{-8x^{18}}{4x^6}$

It can be written as

$\dfrac{-8x^{18}}{4x^6}=\dfrac{-8x^{6+12}}{4x^6}$

$\dfrac{-8x^{18}}{4x^6}=\dfrac{-(2)(4)x^6x^{12}}{4x^6}$          $[a^{m+n}=a^ma^n]$

Cancel out the common factors.

$\dfrac{-8x^{18}}{4x^6}=\dfrac{-2x^{12}}{1}$

$\dfrac{-8x^{18}}{4x^6}=-2x^{12}$

Therefore, the simplified form of the given expression is $-2x^{12}$.