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: \[ \boxed{x^2} \]