Question

1. \\(\frac{-2v^2}{-2u^3v^2}\\)

Explanation:

Step1: Cancel the common factors in numerator and denominator

First, we can cancel the common coefficient \(-2\) in the numerator and the denominator. Also, we can cancel the common variable term \(v^{2}\) (since \(v^{2}\) appears in both the numerator and the denominator).
So, \(\frac{-2v^{2}}{-2u^{3}v^{2}}=\frac{\cancel{-2}\cancel{v^{2}}}{\cancel{-2}u^{3}\cancel{v^{2}}}\)

Step2: Simplify the remaining expression

After canceling the common factors, we are left with \(\frac{1}{u^{3}}\)

Answer:

\(\frac{1}{u^{3}}\)