Question

Simplify by substituting a numerical value for a in the expression.

Answer 1

Given

`2^{(3)/(7)}*2^{(1)/(4)}=2^a`

Apply exponent rule

`a^b* a^c=a^(b+c)`

Therefore,

`2^{(3)/(7)}*\: 2^{(1)/(4)}=2^{(3)/(7)+(1)/(4)}`

Simplify

`2^{(3)/(7)+(1)/(4)}=2^{(19)/(28)}`

The numerical value of a is

`(19)/(28)`

The final answer

`2^a=2^{(19)/(28)}`