Question

8. (FUVEST) – o valor de
$( {0.2})^{3} + ( {0.16})^{2}$
é
a) 0,0264
b) 0,0336
c)0,1056
d) 0,2568
e) 0,6256

Answer 1

(2.10⁻¹)³+(16.10⁻²)²

2³.10⁻³+ 16².10⁻⁴

2³.10⁻³+ (2⁴)².10⁻⁴

2³.10⁻³+ 2⁸.10⁻⁴

2³.10⁻³(1+2⁵.10⁻¹)

2³.10⁻³(1+32.10⁻¹)

8.10 ⁻³(1+3,2)

8.10 ⁻³.4,2

8.10 ⁻³.42.10 ⁻¹

8.42.10 ⁻¹.10⁻³

336.10 ⁻⁴

0,0336

Resposta letra b

Answer 2

$\sf \left(0,\:2\right)^3+\left(0,\:16\right)^2\\\\\\0.2^3=0.008\\\\\\=0.008+0.16^2\\\\\\0.16^2=0.0256\\\\\\=0.008+0.0256\\\\\\\to \boxed{\sf =0.0336}$