Question

Simplify the following expression

Answer 1

Simplification of the given expression.
$\frac{a {}^{3}b {}^{2} }{a {}^{2}b }$
Divide the terms with the same base by subtracting their exponents.

$= \frac{a {}^{3 - 2} b {}^{2} }{b}$
Subtract the numbers

$= \frac{a {}^{1} b {}^{2} }{b}$
Any expression raised to the power of 1 equals itself.

$= \frac{ab {}^{2} }{b}$
Now, reduce the fraction with b.

$= ab$

Answer 2

(a^3)(b^2)/(a^2)(b)

Thus, the equation can be reduced to, ab.