Question

SUPER EASY 15 POINTS SIMPLIFY

Answer 1

(4^1/2)^5= 4^(1/2)*4^(1/2)*4^(1/2n)*4^(1/2)*4^(1/2)=
2*2*2*2*2= 32


16^(-5/4) = 0.03125

(1/4)^(3/2)= 0.125

Answer 2

$16^{- \frac{5}{4} }= \cfrac{1}{16^{ \frac{5}{4} }} = \cfrac{1}{(2^4)^{ \frac{5}{4} }} = \cfrac{1}{2^{5}} = \cfrac{1}{32} \\ \\ \\ \left( \cfrac{1}{4} \right)^{ \frac{3}{2} }=\cfrac{1}{4^{ \frac{3}{2} }}=\cfrac{1}{(2^2)^{ \frac{3}{2} }}=\cfrac{1}{2^{ 3}}=\cfrac{1}{8} \\ \\ \\ 4^{ \frac{5}{2} }=(2^2)^ \frac{5}{2}=2^5=32$