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Rewrite the expression by separating terms with the same base.

April 2, 2026Chemistry

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Answer

a^2 b^3

Step-by-step solution

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Rewrite the expression by separating terms with the same base.
$\frac{a^3 b^5}{a b^2} = \frac{a^3}{a^1} \times \frac{b^5}{b^2}$
Apply the law of indices for division, which states that $\frac{x^m}{x^n} = x^{m-n}$ .
For the terms with base $a$ :
$\frac{a^3}{a^1} = a^{3-1} = a^2$
For the terms with base $b$ :
$\frac{b^5}{b^2} = b^{5-2} = b^3$
Combine the simplified terms.
$a^2 \times b^3 = a^2 b^3$
The final answer is $a^2 b^3$ .

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