Rewrite the expression by separating terms with the same base.
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Step 1: Rewrite the expression by separating terms with the same base.
$$ \frac{a^3 b^5}{a b^2} = \frac{a^3}{a^1} \times \frac{b^5}{b^2} $$
Step 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 $b$:
$$ \frac{b^5}{b^2} = b^{5-2} = b^3 $$
Step 3: Combine the simplified terms.
$$ a^2 \times b^3 = a^2 b^3 $$
The final answer is $\boxed{a^2 b^3}$.
