Issolvi {[(-3/5)^{6}*(25/9)^2]^4:(9/5)^6*27^2}:(-3/25)

$$\{ [ ( - \frac { 3 } { 5 } ) ^ { 6 } \cdot ( \frac { 25 } { 9 } ) ^ { 2 } ] ^ { 4 } : ( \frac { 9 } { 5 } ) ^ { 6 } \cdot 27 ^ { 2 } \} : ( - \frac { 3 } { 25 } )$$

Evalwa

$$-3$$

Passi tas-Soluzzjonijiet

Ikkalkula -\frac{3}{5} bil-power ta' 6 u tikseb \frac{729}{15625}.

$$\frac{\frac{\left(\frac{729}{15625}\times \left(\frac{25}{9}\right)^{2}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Ikkalkula \frac{25}{9} bil-power ta' 2 u tikseb \frac{625}{81}.

$$\frac{\frac{\left(\frac{729}{15625}\times \frac{625}{81}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Immultiplika \frac{729}{15625} u \frac{625}{81} biex tikseb \frac{9}{25}.

$$\frac{\frac{\left(\frac{9}{25}\right)^{4}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Ikkalkula \frac{9}{25} bil-power ta' 4 u tikseb \frac{6561}{390625}.

$$\frac{\frac{\frac{6561}{390625}}{\left(\frac{9}{5}\right)^{6}}\times 27^{2}}{-\frac{3}{25}}$$

Ikkalkula \frac{9}{5} bil-power ta' 6 u tikseb \frac{531441}{15625}.

$$\frac{\frac{\frac{6561}{390625}}{\frac{531441}{15625}}\times 27^{2}}{-\frac{3}{25}}$$

Iddividi \frac{6561}{390625} b'\frac{531441}{15625} billi timmultiplika \frac{6561}{390625} bir-reċiproku ta' \frac{531441}{15625}.

$$\frac{\frac{6561}{390625}\times \frac{15625}{531441}\times 27^{2}}{-\frac{3}{25}}$$

Immultiplika \frac{6561}{390625} u \frac{15625}{531441} biex tikseb \frac{1}{2025}.

$$\frac{\frac{1}{2025}\times 27^{2}}{-\frac{3}{25}}$$

Ikkalkula 27 bil-power ta' 2 u tikseb 729.

$$\frac{\frac{1}{2025}\times 729}{-\frac{3}{25}}$$

Immultiplika \frac{1}{2025} u 729 biex tikseb \frac{9}{25}.

$$\frac{\frac{9}{25}}{-\frac{3}{25}}$$

Iddividi \frac{9}{25} b'-\frac{3}{25} billi timmultiplika \frac{9}{25} bir-reċiproku ta' -\frac{3}{25}.

$$\frac{9}{25}\left(-\frac{25}{3}\right)$$

Immultiplika \frac{9}{25} u -\frac{25}{3} biex tikseb -3.

$$-3$$

Fattur

$$-3$$