Question

This is rational indices please solve it fast

Answer 1

108^1/3 ×4^1/6 / 81^1/4 =27^1/3 ×4^1/3 ×4^1/6/3^4/4=
3^3/3 ×4^(1/3+1/6) /3 = 3× 4^(2+1/6)/3 =4^1/2 =2.

Answer 2

$\frac{ \sqrt[3]{108} \times \sqrt[6]{4} }{ \sqrt[4]{81} } \\ = \frac{ \sqrt[3]{108} \times \sqrt[3]{4} \times \sqrt[3]{4} }{ \sqrt[3]{ {3}^{4} } } \\ = \frac{ \sqrt[3]{108 \times 4 \times 4} }{3} \\ = \frac{ \sqrt[3]{1728} }{3} \\ = \frac{ \sqrt[3]{ {12}^{3} } }{3} \\ = \frac{12}{3} \\ = 4$