Question

Escreva a fracao 81/243 em uma unica potencia de base 3 e expoente negativo

Answer 1

$\Large\boxed{\begin{array}{l}\begin{array}{c|c}\sf243&\sf3\\\sf81&\sf3\\\sf27&\sf3\\\sf9&\sf3\\\sf3&\sf3\\\sf1\end{array}\\\sf 243=3^5\\\sf 81=3^4\\\sf\dfrac{81}{243}=\dfrac{3^4}{3^5}=3^{4-5}=3^{-1}\end{array}}$