Answer:
[tex]4a^{2}[/tex]
Step-by-step explanation:
We need to simplify the following expression:
[tex]y=\frac{32a^{3}b^{2}}{8ab^{2}}[/tex]
We know that: [tex]\frac{x^{a}}{x^{b}}=x^{a-b}[/tex]. Applying this rule, we have that:
[tex]y = \frac{32a^{3}b^{2}}{8ab^{2}} = 4a^{3-1}b^{2-2} = 4a^{2}[/tex]
Then, the solution is: [tex]4a^{2}[/tex]
