3m次幂=2,3n次幂=6,求3的4m次幂+2n次幂.

问题描述:

3m次幂=2,3n次幂=6,求3的4m次幂+2n次幂.

3^m=2
3^n=6

3^(4m +2n)
=3^(4m)×3^(2n)
=(3^m)^4×(3^n)^2
=2^4×6^2
=16×36
=576

原式=3^4m×3^2n
=(3^m)^4×(3^n)²
=2^4×6²
=576

3的4m次幂+2n次幂
=(3^m)^4*(3^n)^2
=2^4*6^2
=16x36
=576