From the question;
we need to simplify
[tex]\frac{2(\sqrt[]{m})^3}{\sqrt[4]{m}}[/tex]
In the form
[tex]2m^a[/tex]
solving
[tex]\begin{gathered} \frac{2(\sqrt[]{m})^3}{\sqrt[4]{m}} \\ =\text{ }\frac{2(m^{\frac{1}{2}})^3}{m^{\frac{1}{4}}} \\ =\text{ }\frac{2m^{3\text{ }\times\frac{1}{2}}}{m^{\frac{1}{4}}} \\ =\text{ }\frac{2m^{\frac{3}{2}}}{m^{\frac{1}{4}}} \\ \text{applying law of indices} \\ =2m^{\frac{3}{2}\text{ - }\frac{1}{4}} \\ =2m^{\frac{6\text{ - 1}}{4}} \\ =2m^{\frac{5}{4}} \end{gathered}[/tex]
comparing the result
[tex]\begin{gathered} 2m^{\frac{5}{4}}=2m^a \\ \text{implies} \\ m^{\frac{5}{4}}=m^a \end{gathered}[/tex]
Hence,
The value of a is
[tex]\frac{5}{4}[/tex]
