To find the value of the expression [tex]\(\frac{x y^2}{5}\)[/tex] given [tex]\(x = 2\)[/tex] and [tex]\(y = 1\)[/tex], follow these steps:
1. Substitute the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] into the expression:
[tex]\[
\frac{2 \cdot 1^2}{5}
\][/tex]
2. Calculate the exponentiation part first, which is [tex]\(y^2\)[/tex]:
[tex]\[
1^2 = 1
\][/tex]
3. Now multiply [tex]\(x\)[/tex] by the result of [tex]\(y^2\)[/tex]:
[tex]\[
2 \cdot 1 = 2
\][/tex]
4. Finally, divide the result by 5:
[tex]\[
\frac{2}{5} = 0.4
\][/tex]
Therefore, the value of the expression is [tex]\(\boxed{0.4}\)[/tex].
