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Calculati:
[tex] {2}^{ - 1} + {2}^{ - 2} + {2}^{ - 3} [/tex]


Răspuns :

[tex] {x}^{ - y} = \frac{1}{ {x}^{y} } \\ \\ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} \\ \frac{4 + 2 + 1}{8 } = \frac{7}{8} [/tex]

Explicație pas cu pas:

[tex] \frac{1}{2} + (\frac{1}{2}) {}^{2} + (\frac{1}{2} ) {}^{3} = \frac{1}{2} + \frac{1}{4} + \frac{1}{8} \\ aducem \: la \: acelasi \: numitor \: \\ \frac{4 + 2 + 1}{8} = \frac{7}{8} [/tex]