Question

一道数学题啊，急啊，高手回答

2^m=a 32^n=b,求2^(3m+10n)，过程写详细点

Answer 1

2^(3m+10n)
=2^3m x 2^10n
=(2^m)^3 x (2^5)^2n
=a^3 x (32^n)2
=a^3xb^2

Answer 2

2^m=a
32^n=(2^5)^n=2^5n=b
2^(3m+10n)
=2^3m×2^10n
=(2^m)^3×(2^5n)^2,把2^m=a,2^5n=b代入
=a³×b²
=a³b²

Answer 3

因为32=2^5所以b=(2^5)^n
2^(3m+10n)
=2^3m x 2^10n
=(2^m)^3 x [(2^5)^n]^2
根据2^m=a和b=(2^5)^n
=a^3xb^2

Answer 4

2^(3m+10n)
=2^3m * 2^10n
=(2^m)^3 * (2^5n)^2
=(2^m)^3 * (32^n)^2
=a^3 * b^2(由已知2^m=a 32^n=b得到）

Answer 5

32^n=b,=2^（5n）,2^(3m+10n)=2^(3m)*2^(10n)=(a^3)*(b^2)=a的立方乘以b的平方

Answer 6

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