Text goes as following "Let a be a real number. Prove that 4^1/2+a/2 can be simplified to 2*2^a
How can I prove this?
No, it's FALSE. You are missing something.
Use of brackets would clarify the question!
\(4^{\frac{1}{2}+\frac{a}{2}}\\\\ =4^{\frac{1}{2}(1+a)}\\\\ =2^{1+a}\\\\ =2\times2^a\)