Question

Sa se calculeze 2^-1+2^-2 +1/4

Answer 1

$2^{-1}+2^{-2}+ \frac{1}{4}= \frac{1}{2}+\frac{1}{4}+\frac{1}{4}=\frac{1}{2}+\frac{2}{4}=\frac{1}{2}+\frac{1}{2}=\frac{2}{2}=1$

Answer 2

[tex]2^{-1}=(\frac{1}{2})^{1}=\frac{1^{1}}{2^{1}}=\frac{1}{2}\\ 2^{-2}=(\frac{1}{2})^{2}=\frac{1^{2}}{2^{2}}=\frac{1}{4}\\ \frac{1}{2}+\frac{1}{4}+\frac{1}{4}\\Numitor\ comun:4\\ \frac{2}{4}+\frac{1}{4}+\frac{1}{4}=\frac{2+1+1}{4}=\frac{4}{4}=1[/tex]