Whakaoti i te 3.6:(51/5-7)+(1/2)^3*0.4^2

$$3.6 : ( 5 \frac { 1 } { 5 } - 7 ) + ( \frac { 1 } { 2 } ) ^ { 3 } \cdot 0.4 ^ { 2 }$$

Aromātai

$$-1.98$$

Ngā Upane Otinga

Whakareatia te 5 ki te 5, ka 25.

$$\frac{3.6}{\frac{25+1}{5}-7}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Tāpirihia te 25 ki te 1, ka 26.

$$\frac{3.6}{\frac{26}{5}-7}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Me tahuri te 7 ki te hautau \frac{35}{5}.

$$\frac{3.6}{\frac{26}{5}-\frac{35}{5}}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Tā te mea he rite te tauraro o \frac{26}{5} me \frac{35}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{3.6}{\frac{26-35}{5}}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Tangohia te 35 i te 26, ka -9.

$$\frac{3.6}{-\frac{9}{5}}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Whakawehe 3.6 ki te -\frac{9}{5} mā te whakarea 3.6 ki te tau huripoki o -\frac{9}{5}.

$$3.6\left(-\frac{5}{9}\right)+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Me tahuri ki tau ā-ira 3.6 ki te hautau \frac{36}{10}. Whakahekea te hautanga \frac{36}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{18}{5}\left(-\frac{5}{9}\right)+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Me whakarea te \frac{18}{5} ki te -\frac{5}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{18\left(-5\right)}{5\times 9}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Mahia ngā whakarea i roto i te hautanga \frac{18\left(-5\right)}{5\times 9}.

$$\frac{-90}{45}+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

Whakawehea te -90 ki te 45, kia riro ko -2.

$$-2+\left(\frac{1}{2}\right)^{3}\times 0.4^{2}$$

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

$$-2+\frac{1}{8}\times 0.4^{2}$$

Tātaihia te 0.4 mā te pū o 2, kia riro ko 0.16.

$$-2+\frac{1}{8}\times 0.16$$

Me tahuri ki tau ā-ira 0.16 ki te hautau \frac{16}{100}. Whakahekea te hautanga \frac{16}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-2+\frac{1}{8}\times \frac{4}{25}$$

Me whakarea te \frac{1}{8} ki te \frac{4}{25} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$-2+\frac{1\times 4}{8\times 25}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 4}{8\times 25}.

$$-2+\frac{4}{200}$$

Whakahekea te hautanga \frac{4}{200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-2+\frac{1}{50}$$

Me tahuri te -2 ki te hautau -\frac{100}{50}.

$$-\frac{100}{50}+\frac{1}{50}$$

Tā te mea he rite te tauraro o -\frac{100}{50} me \frac{1}{50}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{-100+1}{50}$$

Tāpirihia te -100 ki te 1, ka -99.

$$-\frac{99}{50}$$

Tauwehe

$$-1.98$$