Question

Se M=2³ e N =2², determine (M².N³)²:

É urgente!!!!​

Answer 1

Resposta:

$M = {2}^{3} \\ \\ N = {2}^{2} \\ \\ ( {M}^{2} \times {N}^{3} ) {}^{2} = \\ \\ [( { {2}^{3} )}^{2} \times { ({2}^{2} )}^{3} ]{}^{2} = \\ \\ = [ {2}^{3 \times 2} \times {2}^{2 \times 3} ] {}^{2} \\ \\ = [ {2}^{6} \times {2}^{6} ] {}^{2} \\ \\ = [ {2}^{6 + 6} ] {}^{2} \\ \\ = [ {2}^{12} ] {}^{2} \\ \\ = {2}^{12 \times 2} \\ \\ = \boxed{\LARGE \bf \green{ {2}^{24} }} \\ \\ ou\\\\\boxed{\LARGE\bf\green{16777216}} \\\\ \boxed{\LARGE \bf \blue{ \underline{Bons \: Estudos!}}}$