Let's simplify the given expression step-by-step.
The expression to simplify is:
[tex]\[
\frac{y^5}{y^3} \cdot \frac{y^2}{y}
\][/tex]
Step 1: Simplify [tex]\(\frac{y^5}{y^3}\)[/tex].
[tex]\[
\frac{y^5}{y^3} = y^{5-3} = y^2
\][/tex]
Step 2: Simplify [tex]\(\frac{y^2}{y}\)[/tex].
[tex]\[
\frac{y^2}{y} = y^{2-1} = y
\][/tex]
Step 3: Multiply the results from Step 1 and Step 2.
[tex]\[
y^2 \cdot y = y^{2+1} = y^3
\][/tex]
So, the simplified form of the expression is:
[tex]\[
y^3
\][/tex]
