Question

3 la puterea 17 ori 16 la puterea 17 împărțit la 18 la puterea 16​

Answer 1

 

$\displaystyle\bf\\3^{17}\times16^{17}:18^{16}=\\\\=\frac{3^{17}\times16^{17}}{18^{16}}=\\\\=\frac{3^{17}\times\Big(2^4\Big)^{17}}{\Big(2\times3^2\Big)^{16}}=\\\\=\frac{3^{17}\times2^{4\times17}}{2^{16}\times3^{2\times16}}=\\\\=\frac{3^{17}\times2^{68}}{2^{16}\times3^{32}}=\\\\=3^{17-32}\times2^{68-16}=\\\\=3^{-15}\times2^{52}=\\\\=\boxed{\bf\frac{2^{52}}{3^{15}} }$