Simplify: ysuperscript2xsuperscript8/xsuperscript6 ysuperscript2

Question

(1 point)
Responses

x−2y
x to the negative 2 power y

x2
x squared

x4y
x to the 4th power y

x2y
the fraction with numerator x squared and denominator y

Answer 1

To simplify the expression \( \frac{y^2 x^8}{x^6 y^2} \), we can follow these steps:

1. Simplify the \(x\) terms: \[ \frac{x^8}{x^6} = x^{8-6} = x^2 \]

2. Simplify the \(y\) terms: \[ \frac{y^2}{y^2} = 1 \]

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

Thus, the simplified expression is \( x^2 \).

The correct response is: x² (x squared)