Question

Сделайте 1.6.19, 1.6.20, 1.6.21

Answer 1

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