Rešite (1/2)^3*(1/3)^2*(11/5)^2

$$( \frac { 1 } { 2 } ) ^ { 3 } \cdot ( \frac { 1 } { 3 } ) ^ { 2 } \cdot ( 1 \frac { 1 } { 5 } ) ^ { 2 }$$

Ovrednoti

$$\frac{1}{50}=0,02$$

Koraki rešitve

Izračunajte potenco \frac{1}{2} števila 3, da dobite \frac{1}{8}.

$$\frac{1}{8}\times \left(\frac{1}{3}\right)^{2}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Izračunajte potenco \frac{1}{3} števila 2, da dobite \frac{1}{9}.

$$\frac{1}{8}\times \frac{1}{9}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Pomnožite \frac{1}{8} in \frac{1}{9}, da dobite \frac{1}{72}.

$$\frac{1}{72}\times \left(\frac{1\times 5+1}{5}\right)^{2}$$

Pomnožite 1 in 5, da dobite 5.

$$\frac{1}{72}\times \left(\frac{5+1}{5}\right)^{2}$$

Seštejte 5 in 1, da dobite 6.

$$\frac{1}{72}\times \left(\frac{6}{5}\right)^{2}$$

Izračunajte potenco \frac{6}{5} števila 2, da dobite \frac{36}{25}.

$$\frac{1}{72}\times \frac{36}{25}$$

Pomnožite \frac{1}{72} in \frac{36}{25}, da dobite \frac{1}{50}.

$$\frac{1}{50}$$

Faktoriziraj

$$\frac{1}{2 \cdot 5 ^ {2}} = 0,02$$