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