TITLE: A question in powers
QUESTION [0 upvotes]: I am a student in the second secondary so I had a question in math about powers like 4 power what gives you half in mathematical way I mean if there is a rule or a theory which can help me if I fall to a something like that

REPLY [0 votes]: Or
\begin{align}
   4^x &= \dfrac 12 \\
   (2^2)^x &= 2^{-1}\\
   2^{2x} &= 2^{-1}\\
   2x &= -1 \quad (\text{If } a^b = a^c \text{, then }b = c.)\\
   x &= -\dfrac 12
\end{align}
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