Question

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

Answer 1

Given:

The expression is:

`(-8x^(18))/(4x^6)`

To find:

The simplified form of the given expression.

Solution:

We have,

`(-8x^(18))/(4x^6)`

It can be written as

`(-8x^(18))/(4x^6)=(-8x^(6+12))/(4x^6)`

`(-8x^(18))/(4x^6)=(-(2)(4)x^6x^(12))/(4x^6)`
`[a^(m+n)=a^ma^n]`

Cancel out the common factors.

`(-8x^(18))/(4x^6)=(-2x^(12))/(1)`

`(-8x^(18))/(4x^6)=-2x^(12)`

Therefore, the simplified form of the given expression is
`-2x^(12)`.