Answer:
[tex]2^{\frac{5}{2}}[/tex]
Step-by-step explanation:
We have to solve the given expression [tex][(2)^{\frac{1}{2}}(2)^{\frac{3}{4}}]^{2}[/tex]
As we know [[tex]x^{a}.x^{b}=x^{a+b}[/tex]]
Now by solving the given expression by this identity
[tex][2^{\frac{1}{2}+\frac{3}{4}}]^{2}[/tex]
= [tex][2^{\frac{5}{4}}]^{2}[/tex]
= [tex]2^{\frac{(5)(2)}{4}}[/tex]
= [tex]2^{\frac{10}{4} }[/tex]
= [tex]2^{\frac{5}{2}}[/tex]
Therefore, the given expression can be represented by [tex]2^{\frac{5}{2}}[/tex].
