Question

$(\sqrt{2}) ^{x} = 2^{ \frac{x}{2} }$. Explain how

Answer 1

√2 = $2^{\frac{1}{2} }$

so by simple multiplication 

$(\sqrt{2})^x$ = $(2^{\frac{1}{2}})^x }$ = $2^{\frac{x}{2}}$