Question

por favor preciso do resultado dessa expressão, me ajudem!
(2½ . 4½+¹) : (8^-½ . 16¼)

Answer 1

[(2)^1/2 x (4)^1/2+1] : [(8)^-1/2 x (16)^1/4]
=[(2)^1/2 x (4)^3/2] : [ (2)^3x(-1/2) x (2)^ 4x1/4]
= [(2)^1/2 x (2)^2x3/2] : [(2)^-3/2 x (2)^4/4
= [(2)^ 1/2+ 6/2] : [(2)^-3/2+1]
= [(2)^7/2] : [(2)^-1/2]
= (2)^7/2-(-1/2)
=(2)^7/2+1/2
=(2)^8/2
=(2)⁴
= 16