Question

Convert the following to powers first then simplify and then write answer as a radical ​

Answer 1

`\sqrt[15]{m^2n^4}`

Explanation:

`(\sqrt[5]{m^2n^4} )^{(1)/(3)}\\\\\implies( (m^2n^4)^{(1)/(5)})^{(1)/(3)}\\\\\implies (m^2n^4)^{(1)/(5)* (1)/(3)}\\\\\implies (m^2n^4)^{(1)/(15)}\\\\\implies (m^2)^{(1)/(15)} (n^4)^{(1)/(15)}\\\\\implies m^{(2)/(15)} n^{(4)/(15)}`

`\sqrt[15]{m^2n^4}`