Question

A. (1/2)^100 . 2^101
me ajudem pfv​

Answer 1

(1/2)^100 . 2^101

(2-¹)^100 . 2^101

2^-100 . 2^101

2^(101-100) = 2¹ = 2

Answer 2

Olá, vamos lá!

Regrinha:$\boxed{a^{m}*a^{n} = a^{m+n}}$ e $\\\boxed{a^{m} / a^{n} = a^{m-n}}$

$\boxed{(\dfrac{1}{2})^{100} * 2^{101} = 1^{100} / 2^{100} * 2^{101} = \dfrac{1^{100}}{2^{100}} * \dfrac{2^{101}}{1} = (1*1) * (2^{1}) = 2}$

Qualquer dúvida comente ;)

Bons estudos!