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

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

Evalwa

$$\frac{1}{6}\approx 0.166666667$$

Passi tas-Soluzzjonijiet

Ikkalkula \frac{27}{125} bil-power ta' \frac{1}{3} u tikseb \frac{3}{5}.

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

Ikkalkula \frac{3}{2} bil-power ta' -2 u tikseb \frac{4}{9}.

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

Ikkalkula \frac{2}{5} bil-power ta' 3 u tikseb \frac{8}{125}.

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

Iddividi \frac{4}{9} b'\frac{8}{125} billi timmultiplika \frac{4}{9} bir-reċiproku ta' \frac{8}{125}.

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

Immultiplika \frac{4}{9} u \frac{125}{8} biex tikseb \frac{125}{18}.

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

Immultiplika \frac{3}{5} u \frac{125}{18} biex tikseb \frac{25}{6}.

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

Ikkalkula \frac{3}{7} bil-power ta' 0 u tikseb 1.

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

Immultiplika 4 u 1 biex tikseb 4.

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

Naqqas 4 minn \frac{25}{6} biex tikseb \frac{1}{6}.

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

Fattur

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$