作业帮10^a=2,10^b=3,则100^[(3a/2)-(b/3)]=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/14 14:53:55
![10^a=2,10^b=3,则100^[(3a/2)-(b/3)]=?](/uploads/image/z/1001260-28-0.jpg?t=10%5Ea%3D2%2C10%5Eb%3D3%2C%E5%88%99100%5E%5B%283a%2F2%29-%28b%2F3%29%5D%3D%3F)
10^a=2,10^b=3,则100^[(3a/2)-(b/3)]=?
10^a=2,10^b=3,则100^[(3a/2)-(b/3)]=?
10^a=2,10^b=3,则100^[(3a/2)-(b/3)]=?
100^[(3a/2)-(b/3)] =10^{2[(3a/2)-(b/3)]} =10^[3a-(2b/3)] =10^(3a)/10^(2b/3) =(10^a)^3/(10^b)^(2/3) =2^3/(3)^(2/3) =8/9^(1/3)