Question

Сделайте 1.6.19, 1.6.20, 1.6.21

Answer 1

$19.; frac{63^{n+1}}{3^{2n+1}cdot 7^{n-2}}=frac{7^{n+1}cdot 3^{2n+2}}{3^{2n+1}cdot 7^{n-2}}=7^{n+1-n+2}cdot 3^{2n+2-2n-1}=7^3cdot 3=1029\\20.; frac{80^{n+4}}{5^{n+3}cdot 2^{4(n+3)+1}}=frac{5^{n+4}cdot 2^{4n+16}}{5^{n+2}cdot 2^{4n+13}}=5^{n+4-n-2}cdot 2^{4n+16-4n-13}=5^2cdot 2^3=200\\21.; frac{50^{n+1}}{2^{n-3}cdot 5^{2n+1}}=frac{2^{n+1}cdot 5^{2n+2}}{2^{n-3}cdot 5^{2n+1}}=2^{n+1-n+3}cdot 5^{2n+2-2n-1}=2^4cdot 5=80$