Question

I need help selecting a value for the expression above

Answer 1

`m^{(8)/(15)}`

Step-by-step explanation

Let's remember some properties of the operations for powered numbers

`\begin{gathered} a^x*a^y=a^(x+y) \\ a^{(1)/(x)}=\sqrt[x]{a} \end{gathered}`

so

Step 1

`m^{(1)/(3)}*m^{(1)/(5)}`

solve by aplying the property

`\begin{gathered} m^{(1)/(3)}*m^{(1)/(5)} \\ m^{(1)/(3)}*m^{(1)/(5)}=m^{(1)/(3)+(1)/(5)} \\ m^{(1)/(3)}*m^{(1)/(5)}=m^{(8)/(15)} \end{gathered}`

therefore, the answer is

`m^{(8)/(15)}`

I hope this helps you