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

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

Izrēķināt

$$-3$$

Atrisinājuma darbības

Aprēķiniet -\frac{3}{5} pakāpē 6 un iegūstiet \frac{729}{15625}.

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

Aprēķiniet \frac{25}{9} pakāpē 2 un iegūstiet \frac{625}{81}.

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

Reiziniet \frac{729}{15625} un \frac{625}{81}, lai iegūtu \frac{9}{25}.

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

Aprēķiniet \frac{9}{25} pakāpē 4 un iegūstiet \frac{6561}{390625}.

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

Aprēķiniet \frac{9}{5} pakāpē 6 un iegūstiet \frac{531441}{15625}.

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

Daliet \frac{6561}{390625} ar \frac{531441}{15625}, reizinot \frac{6561}{390625} ar apgriezto daļskaitli \frac{531441}{15625} .

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

Reiziniet \frac{6561}{390625} un \frac{15625}{531441}, lai iegūtu \frac{1}{2025}.

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

Aprēķiniet 27 pakāpē 2 un iegūstiet 729.

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

Reiziniet \frac{1}{2025} un 729, lai iegūtu \frac{9}{25}.

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

Daliet \frac{9}{25} ar -\frac{3}{25}, reizinot \frac{9}{25} ar apgriezto daļskaitli -\frac{3}{25} .

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

Reiziniet \frac{9}{25} un -\frac{25}{3}, lai iegūtu -3.

$$-3$$

Sadalīt reizinātājos

$$-3$$