Question

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

Answer 1

`-(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`