Step-by-step explanation:
We need to simply like terms. Let's break this out into four different problems that are easy to solve, then we can put it all back together for the final answer.
There are four like terms in both the numerator (top) and denominator (bottom) of the fraction. Numbers, m, p, and v. We will look at each of these seperately.
What is [tex]45/15[/tex]? Easy right, just 3.
Let's move on to the harder parts.
[tex]\frac{m^{-6}}{m^{-2}}[/tex]
Remember that negavite exponents mean to divide.
For example, [tex]2^{-2} = \frac{1}{2^2} = 1/4[/tex]
So we just need to apply this rule to both of these exponents to get,
[tex]\frac{m^2}{m^6}[/tex]
Now remember that when dividing by exponents, the exponents subtract from each other[tex]\frac{x^y}{x^z} = x^{y-z}[/tex]
So we get, [tex]m^{2-6} = m^{-4} = \frac{1}{m^4}[/tex]
So far we have
[tex]\frac{3}{m^4}[/tex]
Keep applying the same rules for the other two terms. Reply back if you need more help and I can keep working through with you.
