Rewrite the expression by separating terms with the same base.

April 2, 2026Chemistry

ScanSolve AI Answer

April 2, 2026

Answer

$a^2 b^3$

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 $\boxed{a^2 b^3}$ .

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Quick Answer

Rewrite the expression by separating terms with the same base. (a^3 b^5)/(a b^2) = (a^3)/(a^1) × (b^5)/(b^2) Step 2: Apply the law of indices for division, which states that (x^m)/(x^n) = x^m-n.

Asked on April 2, 2026Chemistry

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 AnswerAnswered on April 2, 2026

Step 1: Rewrite the expression by separating terms with the same base. (a^3 b^5)/(a b^2) = (a^3)/(a^1) × (b^5)/(b^2) Step 2: Apply the law of indices for division, which states that (x^m)/(x^n) = x^m-n. For the terms with base a: (a^3)/(a^1) = a^3-1 = a^2 For the terms with base b: (b^5)/(b^2) = b^5-2 = b^3 Step 3: Combine the simplified terms. a^2 × b^3 = a^2 b^3 The final answer is a^2 b^3.