Question

How do you simplify `(m^5)^2/m^-8`?

Answer 1

`m^18`

Explanation:

To simplify `(m^5)^2/m^-8`

Begin by multiplying the two exponents on the numerator

`m^10/m^-8`

In order to eliminate the negative exponent in the denominator move the term to the numerator

`m^10m^8`

Now multiply the terms by adding the exponents

`m^(10+8)`

`m^18`

Answer 2

`m^(18)`

Explanation:

Using the `color(blue)"laws of exponents"`

`color(orange)"Reminders"`

`•(a^m)^n=a^(mn)........ (1)`

`•a^m/a^n=a^(m-n)........ (2)`

Using (1) : `(m^5)^2=m^(5xx2)=m^(10)`

Using (2): `m^(10)/m^(-8)=m^(10-(-8)=m^(10+8)=m^(18)`