a+b=5 ab=6
a²+b²=(a+b)²-2ab=5²-2×6=13
a^4+b^4=(a²+b²)²-2(ab)²=13²-2×6²=169-72=97
a^8+b^8=(a^4+b^4)²-2(ab)^4=97²-2×6^4=9409-2592=6817
所以a^4+b^4=97,a^8+b^8=6817
a+b=5 ab=6
a²+b²=(a+b)²-2ab=5²-2×6=13
a^4+b^4=(a²+b²)²-2(ab)²=13²-2×6²=169-72=97
a^8+b^8=(a^4+b^4)²-2(ab)^4=97²-2×6^4=9409-2592=6817
所以a^4+b^4=97,a^8+b^8=6817