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