Question

Simplify the following expression. 6^1/3 divided 6^10/3
(with picture)

Answer 1

The Correct Answer Is...

A. 1/216

I double checked the answer before adding it. I hope this helps y'all!

Answer 2

The correct answer is A. 1/216

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