已知2^m=3,32^n=6,求2^3m-10n

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 01:12:56
已知2^m=3,32^n=6,求2^3m-10n已知2^m=3,32^n=6,求2^3m-10n已知2^m=3,32^n=6,求2^3m-10n2^m=332^n=6(2^5)^n=62^5n=62^

已知2^m=3,32^n=6,求2^3m-10n
已知2^m=3,32^n=6,求2^3m-10n

已知2^m=3,32^n=6,求2^3m-10n
2^m=3
32^n=6
(2^5)^n=6
2^5n=6
2^(3m-10n)
=2^3m÷2^10n
=(2^M)^3÷(2^5n)^2
=3^3÷6^2
=27/36
=3/4