Answer:
The correct answer is A. 1/216
Step-by-step explanation:
Let's simplify the expression:
6^1/3 divided 6^10/3
6^1/3 = ∛ 6 and 6^10/3 = ∛ 6¹⁰, therefore:
∛ 6 / ∛ 6¹⁰
∛ 6 * 1/∛ 6¹⁰ (Flipping the reciprocal)
∛ 6 * 1/(∛ 6 * ∛ 6⁹)
1/∛ 6⁹ (Cancelling down ∛ 6 in the numerator and denominator)
1/6³ = 1/6 * 6 * 6 = 1/216
The correct answer is A. 1/216
