How do you simplify #(2m^4n^2)^4/(-18m^5n^4)#?

1 Answer
Dec 15, 2015

#-(8m^11n^4)/9#

Explanation:

Use the properties of exponents. First, distribute the fourth power in the numerator:

#(2m^4n^2)^4/(-18m^5n^4)=(16m^16n^8)/(-18m^5n^4)#

Then, cancel common factors by subtracting exponents in the denominator from those in the numerator:

#(16m^16n^8)/(-18m^5n^4)=(16m^11n^4)/(-18m^0n^0)#

Finally, simplify the zero exponents and the whole numbers:

#(16m^11n^4)/(-18m^0n^0) = -(8m^11n^4)/9#