2的x次方=m,2的y次方=n,求8的x+y次方(用m,n表示)

问题描述:

2的x次方=m,2的y次方=n,求8的x+y次方(用m,n表示)

8^(x+y)=2^3(x+y)=2^3x+2^3y
=(2^x)^3+(2^y)^3
=m^3+n^3

8^(x+y)=2^{3(x+y)]=(2^x)^3*(2^y)^3=m^3*n^3

8的x+y次方=2^3(x+y)=m^3+n^3

2^x=m,2^y=n
8^(x+y)
=8^x*8^y
=(2^3)^x*(2^3)^y
=(2^x)^3*(2^y)^3
=m^3n^3

8的x+y次方
=(2^3)^(x+y)
=(2^3x)(2^3y)
=m^3*n^3
=(mn)^3