16Hit1600
Advanced MathVery hardSimplifying a quotient with two variables

Advanced Math practice question

For nonzero a and b, which of the following is equivalent to (a²b)³/(ab²)?

  1. A. a⁵bCorrect
  2. B. a⁴b²
  3. C. a⁶b³
  4. D. a⁵b²

Answer: A. a⁵b

(a²b)³ = a⁶b³; dividing by ab² subtracts exponents: a⁵b.

Why the other answers are wrong

B. a⁴b²
Subtracts 2 from both exponents.
C. a⁶b³
Forgets to divide.
D. a⁵b²
Subtracts 1 from both exponents.

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