Question

сократите дробь
3^2n-3 * 5^n+1/ 45^n-2

Answer 1

$frac{3^{2n-3} * 5^{n+1}}{45^{n-2}}= frac{3^{2n}*3^{-3} * 5^{n}*5^{1}}{45^{n}*45^{-2}}= frac{9^{n}*5^{n}*frac{5}{27}}{45^{n}* frac{1}{2025}}= frac{45^{n}*frac{5}{27}}{45^{n}* frac{1}{2025}}= \ \ =frac{5}{27}:frac{1}{2025}=frac{5}{27}*2025=5*75=375$

Answer 2

большое спасибо)

Answer 3

3^(2n-3) *  5^(n+1) =  3^(2n-3) * 5^(n+1)=   3^(1) * 5^(3)=3*125=375

 3^2(n-2)* 5^(n-2)        3^(2n-4) * 5^(n-2)

Answer 4

спасибо!