To simplify the expression:
(∛a ∛b^6 + ∛b ∛a^6) / (∛a^6 * ∛b^6 + ∛b)
We know that a^6 * b^6 = (ab)^6, so:
(∛(ab)^6 + ∛(ab)^6) / (∛(ab)^6 + ∛b)
And simplifying further:
2∛(ab)^6 / (∛(ab)^6 + ∛b)
Therefore, the simplified expression is:
To simplify the expression:
(∛a ∛b^6 + ∛b ∛a^6) / (∛a^6 * ∛b^6 + ∛b)
We know that a^6 * b^6 = (ab)^6, so:
(∛(ab)^6 + ∛(ab)^6) / (∛(ab)^6 + ∛b)
And simplifying further:
2∛(ab)^6 / (∛(ab)^6 + ∛b)
Therefore, the simplified expression is:
2∛(ab)^6 / (∛(ab)^6 + ∛b)