Question

k) 2 + 2-¹ + 2-². l) 3⁰ - 3-¹ + 3²

Answer 1

Explicação passo-a-passo:

$k)2 + {2}^{ - 1} + {2}^{ - 2} = \\ 2 + \frac{1}{2} + \frac{1}{ {2}^{2} } = \\ \\ 2 + \frac{1}{2} + \frac{1}{4} = \\ \\ \frac{(4 \times 2) + (2 \times 1) + 1}{4} = \\ \\ \frac{8 + 2 + 1}{4} = \\ \\ \frac{11}{4}$

$l) { 3}^{0} - {3}^{ - 1} + {3}^{2} = \\ 1 - \frac{1}{3} + 9 = \\ \\ \frac{(3 \times 1) - 1 + (3 \times 9)}{3} = \\ \\ \frac{3 - 1 + 27}{3} = \\ \\ \frac{2 + 27}{3} = \\ \\ \frac{29}{3}$