Question

^3√72*t^8

Answer 1

I came up with 2t^2^3√9t^2

Answer 2

\[\large \sqrt[3]{72t^8}\]


\[\large \sqrt[3]{8\times 9t^6\times t^2}\]


\[\large \sqrt[3]{8}\times\sqrt[3]{ 9}\times\sqrt[3]{t^6}\times \sqrt[3]{t^2}\]


\[\large 2\times\sqrt[3]{ 9}\times t^2\times \sqrt[3]{t^2}\]


\[\large 2t^2\sqrt[3]{ 9t^2}\]
So \[\large \sqrt[3]{72t^8}=2t^2\sqrt[3]{ 9t^2}\]

Answer 3

I'm assuming that 3 in your answer is the index. If so, then you have the right answer.