Asked by kasdfa

Which expression is equivalent to StartFraction RootIndex 4 StartRoot 6 EndRoot Over RootIndex 3 StartRoot 2 EndRoot?
StartFraction RootIndex 12 StartRoot 27 EndRoot Over 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
(4th root of 6) / (cube root of 2)
= 6^(1/4) / 2^(1/3). Put over common exponent 1/12:
= 6^(3/12) / 2^(4/12)
= (6^3 / 2^4)^(1/12)
= (216/16)^(1/12)
= (27/2)^(1/12).

So the equivalent expression is the 12th root of (27/2), not (12th root of 27) divided by 2.