Help with simplifying

Question

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624

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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?

Guest Sep 2, 2015

Guest · Answer 1 · 2015-09-02T05:52:06

No, it's FALSE. You are missing something.

Alan · Answer 2 · 2015-09-02T08:38:59

Use of brackets would clarify the question!

$4^{\frac{1}{2}+\frac{a}{2}}\\\\ =4^{\frac{1}{2}(1+a)}\\\\ =2^{1+a}\\\\ =2\times2^a$