Riješi (1/2)^3*(1/3)^2*(11/5)^2

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

Procijeni

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

Koraci za rješenje

Izračunajte \frac{1}{2} stepen od 3 i dobijte \frac{1}{8}.

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

Izračunajte \frac{1}{3} stepen od 2 i dobijte \frac{1}{9}.

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

Pomnožite \frac{1}{8} i \frac{1}{9} da biste dobili \frac{1}{72}.

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

Pomnožite 1 i 5 da biste dobili 5.

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

Saberite 5 i 1 da biste dobili 6.

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

Izračunajte \frac{6}{5} stepen od 2 i dobijte \frac{36}{25}.

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

Pomnožite \frac{1}{72} i \frac{36}{25} da biste dobili \frac{1}{50}.

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

Faktor

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