Question

gente me ajude ae plis

Answer 1

Resposta:

letra A

$p = { {(2)}^{3} }^{2} = {2}^{3 \times 2} = {2}^{6} = 64$

$q = { ({4}^{2}) }^{3} = {4}^{2 \times 3} = {4}^{6} = 4096$

$r = {2}^{23} = 8388608$

$s = { (\frac{pq}{r}) }^{ \frac{1}{2} } = {( \frac{64 \times4096 }{8388608} )}^{ \frac{1}{2} } \\ s = {( \frac{262144}{8388608} )}^{ \frac{1}{2} } = {( \frac{1}{32} )}^{ \frac{1}{2} } \\ s = \sqrt{ \frac{1}{32} } = aprox \: 0.176776...$

Analisando as alternativas:

$\frac{1}{4} = 0.25 \\ \\ \frac{1}{2} = 0.5$

Logo

$0 < s < \frac{1}{4} \: \: ou \: 0 < 0.176... < \frac{1}{4}$