Question

Prove that: 2^(3/4)= 4sqrt^3
I know it's true, but how to prove?

Answer 1

I figured it out. \[2^\frac{ 3 }{ 4 }=\sqrt[4]{2^3}\]\[\log 2^\frac{ 3 }{ 4 }=\log \sqrt[4]{2^3}\]\[\frac{ 3 }{ 4 }\log2=\log(2^3)^\frac{ 1 }{ 4 }\]
Right Hand Side \[=\frac{ 1 }{4 } \log2^3\]
\[=3\times \frac{ 1 }{ 4 } \log2\]
Done~ Like magic