11 uždavinys

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