Resol (27/125)^frac{1{3}}*[(3/2)^-2div(2/5)^3]-4(3/7)^0

$$( \frac { 27 } { 125 } ) ^ { \frac { 1 } { 3 } } \times [ ( \frac { 3 } { 2 } ) ^ { - 2 } \div ( \frac { 2 } { 5 } ) ^ { 3 } ] - 4 ( \frac { 3 } { 7 } ) ^ { 0 }$$

Calcula

$$\frac{1}{6}\approx 0,166666667$$

Passos de solució

Calculeu \frac{27}{125} elevat a \frac{1}{3} per obtenir \frac{3}{5}.

$$\frac{3}{5}\times \frac{\left(\frac{3}{2}\right)^{-2}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

Calculeu \frac{3}{2} elevat a -2 per obtenir \frac{4}{9}.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\left(\frac{2}{5}\right)^{3}}-4\times \left(\frac{3}{7}\right)^{0}$$

Calculeu \frac{2}{5} elevat a 3 per obtenir \frac{8}{125}.

$$\frac{3}{5}\times \frac{\frac{4}{9}}{\frac{8}{125}}-4\times \left(\frac{3}{7}\right)^{0}$$

Dividiu \frac{4}{9} per \frac{8}{125} multiplicant \frac{4}{9} pel recíproc de \frac{8}{125}.

$$\frac{3}{5}\times \frac{4}{9}\times \frac{125}{8}-4\times \left(\frac{3}{7}\right)^{0}$$

Multipliqueu \frac{4}{9} per \frac{125}{8} per obtenir \frac{125}{18}.

$$\frac{3}{5}\times \frac{125}{18}-4\times \left(\frac{3}{7}\right)^{0}$$

Multipliqueu \frac{3}{5} per \frac{125}{18} per obtenir \frac{25}{6}.

$$\frac{25}{6}-4\times \left(\frac{3}{7}\right)^{0}$$

Calculeu \frac{3}{7} elevat a 0 per obtenir 1.

$$\frac{25}{6}-4\times 1$$

Multipliqueu 4 per 1 per obtenir 4.

$$\frac{25}{6}-4$$

Resteu \frac{25}{6} de 4 per obtenir \frac{1}{6}.

$$\frac{1}{6}$$

Factoritzar

$$\frac{1}{2 \cdot 3} = 0,16666666666666666$$