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1/5 totu la puterea n=1/625

Răspuns :


[tex] (\frac{1}{5} )^{n} = \frac{1}{625} \\ \frac{ {1}^{n} }{ {5}^{n} } = \frac{1}{625} \\ \frac{1}{ {5}^{n} } = \frac{1}{625} [/tex]
Si noi stim ca 5^4 = 625
=> n = 4


[tex]\it \left(\dfrac{1}{5}\right)^n =\dfrac{1}{625} \Rightarrow \left(\dfrac{1}{5}\right)^n =\dfrac{1}{5^4} \Rightarrow \left(\dfrac{1}{5}\right)^n =\left(\dfrac{1}{5}\right)^4 \Rightarrow n=4[/tex]