Question

Escreva a expressão abaixo com uma só potência,ajuda please? dúvida where

Answer 1

$\frac{(11)^{30}. (11)^{-14} }{(11)^{12}} \\ \\ \frac{11^{30+(-14)}}{11^{12}} \\ \\ \frac{11^{16}}{11^{12}} \\ \\ 11^{16-12} \\ \\ 11^{4}$

Answer 2

$Regra=\ \textgreater \ (a^{m})^{n}= a^{m*n} \\ \\ \frac{(11^{5})^{6}*(11^{-2})^{3}}{(11^{4})^{3}}= \frac{ 11^{5*6}* 11^{(-2)*3} }{ 11^{4*3} } = \frac{ 11^{30}*11 ^{-6} }{ 11^{12} } \\ \\ Regra=\ \textgreater \ a^{m} * a^{n}= a^{m+n} \\ \\ \frac{ 11^{30}*11 ^{-6} }{ 11^{12} }=\frac{ 11^{30+(-6)} }{ 11^{12} }= \frac{ 11^{24} }{11 ^{12} } \\ \\ Regra=\ \textgreater \ \frac{ a^{m} }{a^{n}}=a^{m-n} \\ \\\frac{ 11^{24} }{11 ^{12} }= 11^{24-12}= 11^{12}$