Given
[tex]2^{\frac{3}{7}}\times2^{\frac{1}{4}}=2^a[/tex]
Apply exponent rule
[tex]a^b\times a^c=a^{b+c}[/tex]
Therefore,
[tex]2^{\frac{3}{7}}\times\: 2^{\frac{1}{4}}=2^{\frac{3}{7}+\frac{1}{4}}[/tex]
Simplify
[tex]2^{\frac{3}{7}+\frac{1}{4}}=2^{\frac{19}{28}}[/tex]
The numerical value of a is
[tex]\frac{19}{28}[/tex]
The final answer
[tex]2^a=2^{\frac{19}{28}}[/tex]
