Question

dados a=2³,b=2-¹ e c =(2²)³ calcule a) a.b.c b) a.c.b c) (a.b)²

Answer 1

Dados:
$a=2^3 \\ \\ b=2^{-1} \\ \\ c=(2^2)^3 = 2^{2 \cdot 3} = 2^6$

Calcule:
$a)\: a \cdot b \cdot c = 2^{3} \cdot 2^{-1} \cdot 2^6 = 2^{3+(-1)+6}= 2^{3-1+6}=2^8 =256\\ \\ b)\: a \cdot c \cdot b = 2^3 \cdot 2^6 \cdot 2^{-1} = 2^{3+6+(-1)}= 2^{3+6-1}= 2^8 =256 \\ \\ c)\: (a \cdot b)^2 = (2^3 \cdot 2^{-1})^2=(2^{3+(-1)})^2} = (2^{3-1})^2 = (2^2)^2 = 2^{2 \cdot 2}= 2^4=16$



Bons estudos!