Whakaoti i te (1/4)^{2}*(-2/3)^2-{(-2)*(-3)^2-(-4^2)}div(-2)^3

$$( \frac { 1 } { 4 } ) ^ { 2 } \times ( - \frac { 2 } { 3 } ) ^ { 2 } - \{ ( - 2 ) \times ( - 3 ) ^ { 2 } - ( - 4 ^ { 2 } ) \} \div ( - 2 ) ^ { 3 }$$

Aromātai

$$-\frac{2}{9}\approx -0.222222222$$

Ngā Upane Otinga

Tātaihia te \frac{1}{4} mā te pū o 2, kia riro ko \frac{1}{16}.

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

Tātaihia te -\frac{2}{3} mā te pū o 2, kia riro ko \frac{4}{9}.

$$\frac{1}{16}\times \frac{4}{9}-\frac{-2\left(-3\right)^{2}-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Me whakarea te \frac{1}{16} ki te \frac{4}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 4}{16\times 9}-\frac{-2\left(-3\right)^{2}-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 4}{16\times 9}.

$$\frac{4}{144}-\frac{-2\left(-3\right)^{2}-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Whakahekea te hautanga \frac{4}{144} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{36}-\frac{-2\left(-3\right)^{2}-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$\frac{1}{36}-\frac{-2\times 9-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Whakareatia te -2 ki te 9, ka -18.

$$\frac{1}{36}-\frac{-18-\left(-4^{2}\right)}{\left(-2\right)^{3}}$$

Tātaihia te 4 mā te pū o 2, kia riro ko 16.

$$\frac{1}{36}-\frac{-18-\left(-16\right)}{\left(-2\right)^{3}}$$

Ko te tauaro o -16 ko 16.

$$\frac{1}{36}-\frac{-18+16}{\left(-2\right)^{3}}$$

Tāpirihia te -18 ki te 16, ka -2.

$$\frac{1}{36}-\frac{-2}{\left(-2\right)^{3}}$$

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

$$\frac{1}{36}-\frac{-2}{-8}$$

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

$$\frac{1}{36}-\frac{1}{4}$$

Ko te maha noa iti rawa atu o 36 me 4 ko 36. Me tahuri \frac{1}{36} me \frac{1}{4} ki te hautau me te tautūnga 36.

$$\frac{1}{36}-\frac{9}{36}$$

Tā te mea he rite te tauraro o \frac{1}{36} me \frac{9}{36}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-9}{36}$$

Tangohia te 9 i te 1, ka -8.

$$\frac{-8}{36}$$

Whakahekea te hautanga \frac{-8}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$-\frac{2}{9}$$

Tauwehe

$$-\frac{2}{9} = -0.2222222222222222$$