Question

simplifique a expressão 81^3 : 9^2 × 729 ^-2 / 59.049 e escreva-a na forma de uma potência.​

Answer 1

Resposta:

$\frac{81^3:9^2*729^-^2}{59049}\\\\\frac{\frac{81^3}{9^2\cdot \:729^{-2}}}{59049}\\\\=\frac{81^3}{9^2\cdot \:729^{-2}\cdot \:59049}\\\\=\frac{3^{12}}{729^{-2}\cdot \:3^{10}\cdot \:3^4}\\\\=\frac{3^{12}}{729^{-2}\cdot \:3^{14}}\\\\=\frac{1}{729^{-2}\cdot \:3^2}\\\\=\frac{1}{3^{-10}}\\\\=\frac{1}{\frac{1}{3^{10}}}\\\\=\frac{3^{10}}{1}\\\\=3^{10}\\\\=59049$