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

1 Answer
Feb 23, 2017

# \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}#