Question

Помогите плиз решить пример!

Answer 1

$\frac{21^{n+4} *2^{n+2}}{6^{n+2}*7^{n+3}}=\frac{(3*7)^{n+4}*2^{n+2}}{(2*3)^{n+2}*7^{n+3}}=\frac{3^{n+4}*7^{n+4}*2^{n+2}}{2^{n+2}*3^{n+2}*7^{n+3}}=3^{n+4-n-2}*7^{n+4-n-3}=3^{2}*7=9*7=63\\\\Otvet:\boxed{63}$

Answer 2

$\dfrac{21^{n+4}\cdot2^{n+2}}{6^{n+2}\cdot7^{n+3}}=\dfrac{(7\cdot 3)^{n+4}\cdot 2^{n+2}}{(2\cdot 3)^{n+2}\cdot 7^{n+3}}=\dfrac{7^{n+4}\cdot 3^{n+4}\cdot2^{n+2}}{2^{n+2}\cdot 3^{n+2}\cdot 7^{n+3}}=\dfrac{7\cdot3^2}{1}=63$