Question

32a³b²
_____

8ab²

Simplify the following expression.

Answer 1

Answer:

$4a^{2}$

Step-by-step explanation:

We need to simplify the following expression:

$y=\frac{32a^{3}b^{2}}{8ab^{2}}$

We know that: $\frac{x^{a}}{x^{b}}=x^{a-b}$. Applying this rule, we have that:

$y = \frac{32a^{3}b^{2}}{8ab^{2}} = 4a^{3-1}b^{2-2} = 4a^{2}$

Then, the solution is: $4a^{2}$