Simplify (3a^4 b^2)^3 / (9a^5 b^4).
Answer and explanation
Correct answer: C. 3a^7 b^2
- Step 1: Numerator: (3a^4 b^2)^3 = 3^3 a^(43) b^(23) = 27a^12 b^6. Step 2. Divide by 9a^5 b^4: (27 / 9) a^(12 - 5) b^(6 - 4) = 3a^7 b^2. Answer: 3a^7 b^2. Why not the others: Failing to cube 3 gives 3 / 9 = 1/3, and failing to divide by 9 leaves 27.
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