Question

Найдите значение выражения (27^4)^3:(9^2)^8

Answer 1

=((3³)^4)^3:((3²)^2)^8=3^36:3^32=3^4=81

Answer 2

$\displaystyle \tt \frac{(27^{4})^{3}}{(9^{2})^{8}}= \frac{((3^{3})^{4})^{3}}{((3^{2})^{2})^{8}}= \frac{3^{3\cdot4\cdot3}}{3^{2\cdot2\cdot8}}= \frac{3^{36}}{3^{32}}=3^{36-32}=3^{4}=81;$