Question

Simplifique, dando a resposta na forma de potência de base 3:

Answer 1

$\dfrac{{({27}^{3})}^{5}.{({243}^{-2})}^{4}.3}{{[({0,1}^{-2})]}^{-3}{({729}^{2})}^{-3}{[{({0,3}^{-4})}^{-2}]}^{5}.9}$

$\frac{{({ ({3}^{3} )}^{3})}^{5}.{({( {3}^{5})}^{-2})}^{4}.3}{{[({( {10}^{ - 2} )}^{-2})]}^{-3}{({( {3}^{6} )}^{2})}^{-3}{[{({(3. {10}^{ - 1} )}^{-4})}^{-2}]}^{5}. {3}^{2} }$

$\frac{{{3}}^{45}.{3}^{ - 40}.3}{{[10}^{-12}{3}^{-18}{{{(3. {10}^{ - 1})}}}^{40}]. {3}^{2} }$

$\frac{{3}^{6}}{{10}^{-12}{3}^{-18}{{{ {3}^{40} . {10}^{ - 40}}}}. {3}^{2} }$

$\frac{{3}^{6}}{{3}^{24}{{{ {10}^{ - 52}}}}} = {3}^{6 - 24} . {10}^{52} = {3}^{ - 18} . {10}^{52}$