Resol (1/2)^3*(1/3)^2*(11/5)^2

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

Calcula

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

Passos de solució

Calculeu \frac{1}{2} elevat a 3 per obtenir \frac{1}{8}.

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

Calculeu \frac{1}{3} elevat a 2 per obtenir \frac{1}{9}.

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

Multipliqueu \frac{1}{8} per \frac{1}{9} per obtenir \frac{1}{72}.

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

Multipliqueu 1 per 5 per obtenir 5.

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

Sumeu 5 més 1 per obtenir 6.

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

Calculeu \frac{6}{5} elevat a 2 per obtenir \frac{36}{25}.

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

Multipliqueu \frac{1}{72} per \frac{36}{25} per obtenir \frac{1}{50}.

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

Factoritzar

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