已知5m=3,5n=4,求(1)5^2m+5^3n的值 (2)5^2m+3m的值
问题描述:
已知5m=3,5n=4,求(1)5^2m+5^3n的值 (2)5^2m+3m的值
答
5^m=3,5^n=4
所以
(1)5^2m+5^3n
=(5^m)²+(5^n)³
=3²+4³
=9+64
=73
(2)5^2m+3n
=5^2m×5^3n
=(5^m)²×(5^n)³
=3²×4³
=9×64
=576