Advanced MathMediumCube root of a monomial
Advanced Math practice question
For positive x and y, which expression is equivalent to the cube root of x⁶y³?
- A. x²yCorrect
- B. x³y
- C. x²y³
- D. x¹⁸y⁹
Answer: A. x²y
A cube root divides each exponent by 3: x^(6/3) · y^(3/3) = x²y.
Why the other answers are wrong
- B. x³y
- x³ halves the exponent 6; a cube root divides it by 3.
- C. x²y³
- The y exponent also divides by 3: y^(3/3) = y.
- D. x¹⁸y⁹
- Multiplying the exponents by 3 is the reverse operation — cubing.
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