Question

срочно помогите пожалуйста ​

Answer 1

Пошаговое объяснение:

$1) \: \: \frac{a^{2n} }{ {a}^{n}} = {a}^{2n - n} = a^{n}$

$2) \: \: \frac{b^n}{b^{n-3}}=b^{n-(n-3)}=b^{n-n+3}=b^3$

$3) \: \: \frac{a^mb^{m+n}}{a^{m-n}b^m} = a^{m - (m - n)} \cdot \: b^{m+n - m} = \\ = a^{ \cancel{m} - \cancel{m} + n} \cdot \: b^{\cancel{m}+n - \cancel{m}} = a^{n} \cdot \: b^{n }$

$4) \: \: \: \dfrac{30a^{2n-1}b^{2n+2}}{25a^{2n+2}b^{3n+2}} =$

$= \tfrac{30}{25}\cdot \: a^{2n-1 - ({2n+2})} \cdot \: b^{2n+2 -({3n+2}) } = \\ = \tfrac{\cancel{5}\cdot{5} }{\cancel{5}\cdot{6} }\cdot \: a^{\cancel{2n}-1 - \cancel{2n} - 2} \cdot \: b^{\cancel{2n}+\cancel2 -\cancel{2n} - n - \cancel2 } = \\ = \frac{6}{5}\cdot {a}^{ - 3} \cdot{b}^{ - n} = \frac{6}{5 {a}^{ 3} {b}^{ n} }$