Question

Determine as potências, simplificando se possível.
a) (2ab² $\sqrt{3ab}$)²
b) (2a + $\sqrt{3ab}$)²
c) ($\sqrt{a + b}$)³
d) ($\sqrt{2x + y}$)∧4

Answer 1

a) 12(a^3)(b^5)
b) 4(a^2) + 4a(3ab)^1/2 + 3ab
c) a^3/2 + 3a(b^1/2) + 3(a^1/2)b + (b^3/2)
d) (16(x^4)+ 32(x^3)y + 24(x^2)(y^2) + 8(x)(y^3) + (y^4)^1/2
     4(x^2) + 4 (2[x^3]y)^1/2 + 2xy (6)^1/2 + 2 (2x[y^3])^1/2 + y^2
     Entenda: (^) = elevado
                     (^1/2) = raiz quadrada