To simplify the expression [tex]\(\frac{x^2}{y^2}\)[/tex], follow these steps:
1. Understand the Expression: The given expression is a fraction where the numerator is [tex]\(x^2\)[/tex] and the denominator is [tex]\(y^2\)[/tex].
2. Simplify the Fraction: Recall that when you have a fraction with both the numerator and the denominator squared, you can write it in the form of [tex]\(\left(\frac{x}{y}\right)^2\)[/tex]. This is because [tex]\(\left(\frac{a}{b}\right)^2 = \frac{a^2}{b^2}\)[/tex].
3. Write the Simplified Form: Therefore, you can rewrite [tex]\(\frac{x^2}{y^2}\)[/tex] as [tex]\(\left(\frac{x}{y}\right)^2\)[/tex].
Thus, the simplified form of the given expression [tex]\(\frac{x^2}{y^2}\)[/tex] is:
[tex]\[
\frac{x^2}{y^2} = \left(\frac{x}{y}\right)^2
\][/tex]
This represents the same mathematical relationship in a slightly different format, emphasizing that the entire fraction is squared.
