Question

Can someone work with me on Simplifying Power of Power:
(a^2b^-3/2)^1/3

Answer 1

Using \((a^m)^n = a^{mn}\)
\[(a^2b^{-\frac{3}{2}})^\frac{1}{3}\]\[=(a^{2\times \frac{1}{3}}b^{-\frac{3}{2}\times \frac{1}{3}})\]\[=...?\]

Answer 2

a^2 b^3

Answer 3

a^2/3 b

Answer 4

a^2/3 b^1/3