Step-by-step explanation:
[tex]2^5\cdot\sqrt4\cdot(2^3)^4[/tex]
[tex]=2^5\cdot4^\frac12\cdot(2^3)^4[/tex]
[tex]=2^5\cdot(2^2)^\frac12\cdot(2^3)^4[/tex]
[tex]=2^5\cdot2^{2\cdot\frac12}\cdot2^{3\cdot4}[/tex]
[tex]=2^5\cdot2^1\cdot2^{12}[/tex]
[tex]=2^{5+1+12}[/tex]
[tex]=2^{18}[/tex]
