Lời giải:
\(\frac{7^{10}+7^4}{7^8+7^6}=\frac{7^4(7^6+1)}{7^6(7^2+1)}=\frac{7^6+1}{7^2(7^2+1)}=\frac{(7^2+1)(7^4-7^2+1)}{7^2(7^2+1)}\)
$=\frac{7^4-7^2+1}{7^2}=\frac{2353}{49}$
`= (7^4(7^6+1))/(7^6(7^2+1))`
`= (7^6+1)/(7^2(7^2+1))`
`= (7^4-7x^2+1)/7^2=2353/49`.