Whakaoti i te (-41/20)*(-1.25)div(-1/2)^3div(-10)*(-1/3)^5*(-0.1^2)

$$( - 4 \frac { 1 } { 20 } ) \times ( - 1.25 ) \div ( - \frac { 1 } { 2 } ) ^ { 3 } \div ( - 10 ) \times ( - \frac { 1 } { 3 } ) ^ { 5 } \times ( - 0.1 ^ { 2 } )$$

Aromātai

$$\frac{1}{6000}\approx 0.000166667$$

Ngā Upane Otinga

Tuhia te \frac{\frac{\left(-\frac{4\times 20+1}{20}\right)\left(-1.25\right)}{\left(-\frac{1}{2}\right)^{3}}}{-10} hei hautanga kotahi.

$$\frac{\left(-\frac{4\times 20+1}{20}\right)\left(-1.25\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakareatia te 4 ki te 20, ka 80.

$$\frac{\left(-\frac{80+1}{20}\right)\left(-1.25\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Tāpirihia te 80 ki te 1, ka 81.

$$\frac{-\frac{81}{20}\left(-1.25\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Me tahuri ki tau ā-ira -1.25 ki te hautau -\frac{125}{100}. Whakahekea te hautanga -\frac{125}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$\frac{-\frac{81}{20}\left(-\frac{5}{4}\right)}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Me whakarea te -\frac{81}{20} ki te -\frac{5}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\frac{-81\left(-5\right)}{20\times 4}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{-81\left(-5\right)}{20\times 4}.

$$\frac{\frac{405}{80}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakahekea te hautanga \frac{405}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{\frac{81}{16}}{\left(-\frac{1}{2}\right)^{3}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Tātaihia te -\frac{1}{2} mā te pū o 3, kia riro ko -\frac{1}{8}.

$$\frac{\frac{81}{16}}{-\frac{1}{8}\left(-10\right)}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Tuhia te -\frac{1}{8}\left(-10\right) hei hautanga kotahi.

$$\frac{\frac{81}{16}}{\frac{-\left(-10\right)}{8}}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakareatia te -1 ki te -10, ka 10.

$$\frac{\frac{81}{16}}{\frac{10}{8}}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakahekea te hautanga \frac{10}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\frac{81}{16}}{\frac{5}{4}}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakawehe \frac{81}{16} ki te \frac{5}{4} mā te whakarea \frac{81}{16} ki te tau huripoki o \frac{5}{4}.

$$\frac{81}{16}\times \frac{4}{5}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Me whakarea te \frac{81}{16} ki te \frac{4}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{81\times 4}{16\times 5}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{81\times 4}{16\times 5}.

$$\frac{324}{80}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Whakahekea te hautanga \frac{324}{80} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{81}{20}\left(-\frac{1}{3}\right)^{5}\left(-0.1^{2}\right)$$

Tātaihia te -\frac{1}{3} mā te pū o 5, kia riro ko -\frac{1}{243}.

$$\frac{81}{20}\left(-\frac{1}{243}\right)\left(-0.1^{2}\right)$$

Me whakarea te \frac{81}{20} ki te -\frac{1}{243} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{81\left(-1\right)}{20\times 243}\left(-0.1^{2}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{81\left(-1\right)}{20\times 243}.

$$\frac{-81}{4860}\left(-0.1^{2}\right)$$

Whakahekea te hautanga \frac{-81}{4860} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 81.

$$-\frac{1}{60}\left(-0.1^{2}\right)$$

Tātaihia te 0.1 mā te pū o 2, kia riro ko 0.01.

$$-\frac{1}{60}\left(-0.01\right)$$

Me tahuri ki tau ā-ira -0.01 ki te hautau -\frac{1}{100}.

$$-\frac{1}{60}\left(-\frac{1}{100}\right)$$

Me whakarea te -\frac{1}{60} ki te -\frac{1}{100} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-\left(-1\right)}{60\times 100}$$

Mahia ngā whakarea i roto i te hautanga \frac{-\left(-1\right)}{60\times 100}.

$$\frac{1}{6000}$$

Tauwehe

$$\frac{1}{3 \cdot 2 ^ {4} \cdot 5 ^ {3}} = 0.00016666666666666666$$