Advanced Math practice question

Answer: A. 3x²

Take the cube root of each factor: ∛27 = 3, and ∛(x⁶) = x² because (x²)³ = x⁶. So ∛(27x⁶) = 3x².

Why the other answers are wrong

B. 9x²

∛27 is 3, not 9. Three times three times three is 27.

C. 3x³

∛(x⁶) is x², since the exponent divides by 3. x³ would be the SQUARE root of x⁶.

D. 27x²

The 27 is under the cube root too. Its cube root is 3.

More Advanced Math questions

• Medium
  What are the solutions to x² − 5x + 6 = 0?
• Medium
  The graph of f(x) = (x − 3)² + 4 is a parabola. What are the coordinates of its vertex?
• Medium
  If x² − 2x − 8 = (x + 2)(x − a), what is the value of a?
• Medium
  If √(x + 5) = 4, what is the value of x?
• Medium
  If f(x) = x + 3 and g(x) = 2x, what is f(g(4))?
• Medium
  What are the solutions to x² + 6x + 8 = 0?