What is the cube root of 216 x to the 9th power y to the 18th power ?
Answer
A
72 x to the 6th power y to the 15th power
B
213 x to the 6th power y to the 15th power
C
6 x cubed y to the 6th power
D
4 x cubed y to the 6th power
Explanation
Take the cube root of each factor: ∛216 = 6, ∛(x⁹) = x³, and ∛(y¹⁸) = y⁶. Multiplying these results gives 6x³y⁶, which matches choice C, “6 x cubed y to the 6th power.”
AI-written and checked against the verified answer.