Question

How do you simplify `(\frac { 2n ^ { 2} } { - 4m ^ { 4} } ) ^ { 2}`?

Answer 1

`n^4/(4m^8)`

Explanation:

Reduce the fraction by 2
=> `(n^2/(-2m^4))^2`

Then, to rise a fraction to a power, raise the numerator and denominator to THAT power, which is 2:

Step by step:
1) `(n^2)^2 = n^4`
2) `(-2m^4)^2 = 4m^8`

So the result is `n^4/(4m^8)`