Answer :

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]