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

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

Enrhifo

$$-3$$

Camau Ateb

Cyfrifo -\frac{3}{5} i bŵer 6 a chael \frac{729}{15625}.

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

Cyfrifo \frac{25}{9} i bŵer 2 a chael \frac{625}{81}.

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

Lluosi \frac{729}{15625} a \frac{625}{81} i gael \frac{9}{25}.

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

Cyfrifo \frac{9}{25} i bŵer 4 a chael \frac{6561}{390625}.

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

Cyfrifo \frac{9}{5} i bŵer 6 a chael \frac{531441}{15625}.

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

Rhannwch \frac{6561}{390625} â \frac{531441}{15625} drwy luosi \frac{6561}{390625} â chilydd \frac{531441}{15625}.

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

Lluosi \frac{6561}{390625} a \frac{15625}{531441} i gael \frac{1}{2025}.

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

Cyfrifo 27 i bŵer 2 a chael 729.

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

Lluosi \frac{1}{2025} a 729 i gael \frac{9}{25}.

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

Rhannwch \frac{9}{25} â -\frac{3}{25} drwy luosi \frac{9}{25} â chilydd -\frac{3}{25}.

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

Lluosi \frac{9}{25} a -\frac{25}{3} i gael -3.

$$-3$$

Ffactor

$$-3$$