Question

Simplify y^2 x^8/x^6 y^2

Answer 1

To simplify the expression \(\frac{y^2 x^8}{x^6 y^2}\), we can cancel out common terms in the numerator and denominator.

1. The \(y^2\) terms in the numerator and denominator cancel each other out:
\[
\frac{y^2}{y^2} = 1
\]

2. Now, look at the \(x\) terms:
\[
\frac{x^8}{x^6} = x^{8-6} = x^2
\]

Putting it all together, we have:
\[
\frac{y^2 x^8}{x^6 y^2} = 1 \cdot x^2 = x^2
\]

Thus, the simplified expression is:
\[
\boxed{x^2}
\]