Question

How do you simplify `\frac { 21m ^ { - 9} n ^ { 9} } { 28m ^ { - 2} n ^ { - 4} }`?

Answer 1

`\frac{3n^13}{4m^7}`

Explanation:

First, you have to rewrite the equation by using this rule:
`a^-b=\frac{1}{a^b}`

`\frac{\frac{21n^9}{m^9}}{\frac{28}{m^2n^4}}`

And then simplify that fraction by I call "the numerator times the denominator, the denominator times the numerator"

`\frac{21n^9\timesm^2n^4}{m^9\times28}`

and simplify this one again:

`\frac{3n^13}{4m^7}`