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Apskaičiuokite $(0.025)^{lg(2)}\cdot (0.04)^{lg(2)}$

A $\frac{1}{4}$ B $\frac{1}{6}$ C $\frac{1}{8}$ D $\frac{1}{16}$

Sprendimas.

$(0.025)^{lg(2)}\cdot (0.04)^{lg(2)}$ = $(0.025\cdot 0.04)^{lg(2)}$ = $(\frac{25}{1000}\cdot \frac{4}{100})^{lg(2)}$ = $(\frac{100}{100000})^{lg(2)}$ = $(\frac{1}{1000})^{lg(2)}$ = $(10^{(-3)})^{lg(2)}$ = $10^{(-3*lg(2))}$ = $10^{lg(2)^{(-3)}}$ = $2^{(-3)}$ = $\frac{1}{2^{3}}$ = $\frac{1}{8}$

Atsakymas: C

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