Question

Simplify. Express the product as a radical expression.
(x^3)^(3/4)

Answer 1

x^9/4

Answer 2

\[\sqrt[4]{x^{9}}\]

Answer 3

Both answers above are correct, but no one stated any general formulas nor provided any explanations. I'm greatly disappointed.

Answer 4

Can't that be simplified to \[x ^{2}\sqrt[4]{x}\]

Answer 5

I was just about to mention that.

Answer 6

\[(x^{m})^{n} = x^{m \times n }\]
m = 3, n = 3/4
m*n = 3*(3/4) = 9/4\[(x^{m})^{n} = x^{m \times n }\]

Answer 7

Haha, ok xD Thanks guys!