2根号2乘以根号2的四次方乘以根号4的八次方

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2根号2乘以根号2的四次方乘以根号4的八次方

2根号2乘以根号2的四次方乘以根号4的八次方
2根号2乘以根号2的四次方乘以根号4的八次方

2根号2乘以根号2的四次方乘以根号4的八次方
2^(3/2)*2^(1/4)*4^(1/8)=2^(3/2)*2^(1/4)*2^(2/8)=2^(3/2)*2^(1/2)=2^2=4

对数的底是:根号2分之1。
log(4^5×8^2)
= log(2^10×2^6)
= log(2^16)
= log[(√2)^32]
= log[(1/√2)^-32]
= -32 log(1/√2)
= -32

2^(3/2)*2^(1/4)*2^(1/8)
=2^(7/4)*2^(1/8)
=2^(15/8)