Question

QUAL É A RESPOSTA, E OS CALCULOS COMPLETOS?​

Answer 1

$\frac{ {3}^{ - 6} \times {27}^{6} }{ {243}^{3} }$

$27 = {3}^{3}$

${3}^{3 \times 6} = {3}^{9}$

${3}^{ - 6} \times {3}^{9} = ( - 6) + 9 = 3 = {3}^{ 3}$

$\frac{ {3}^{3} }{ {243}^{3} }$

$243 = {3}^{5}$

$\frac{ {3}^{3} }{ {3}^{5} } = 3 - 5 (expoentes)= - 2 = {3}^{ - 2}$

${3}^{ - 2} = { (\frac{1}{3}) }^{2}$

${1}^{2} = 1$

${3}^{2} = 9$

$({ \frac{1}{3} })^{2} = \frac{1}{9}$

$resposta \: = \frac{1}{9} = {3}^{ - 2}$