Simplification of the given expression.
[tex] \frac{a {}^{3}b {}^{2} }{a {}^{2}b } [/tex]
Divide the terms with the same base by subtracting their exponents.
[tex] = \frac{a {}^{3 - 2} b {}^{2} }{b} [/tex]
Subtract the numbers
[tex] = \frac{a {}^{1} b {}^{2} }{b} [/tex]
Any expression raised to the power of 1 equals itself.
[tex] = \frac{ab {}^{2} }{b} [/tex]
Now, reduce the fraction with b.
[tex] = ab[/tex]
