Whakaoti i te 1000*10*10^-4*15/1-1000*15*10^-4=

$$\frac { 1000 \cdot 10 \cdot 10 ^ { - 4 } \cdot 15 } { 1 - 1000 \cdot 15 \cdot 10 ^ { - 4 } } =$$

Aromātai

$$-30$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -4 kia riro ai te -3.

$$\frac{1000\times 10^{-3}\times 15}{1-1000\times 15\times 10^{-4}}$$

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$\frac{1000\times \frac{1}{1000}\times 15}{1-1000\times 15\times 10^{-4}}$$

Whakareatia te 1000 ki te \frac{1}{1000}, ka 1.

$$\frac{15}{1-1000\times 15\times 10^{-4}}$$

Whakareatia te 1000 ki te 15, ka 15000.

$$\frac{15}{1-15000\times 10^{-4}}$$

Tātaihia te 10 mā te pū o -4, kia riro ko \frac{1}{10000}.

$$\frac{15}{1-15000\times \frac{1}{10000}}$$

Whakareatia te 15000 ki te \frac{1}{10000}, ka \frac{3}{2}.

$$\frac{15}{1-\frac{3}{2}}$$

Tangohia te \frac{3}{2} i te 1, ka -\frac{1}{2}.

$$\frac{15}{-\frac{1}{2}}$$

Whakawehe 15 ki te -\frac{1}{2} mā te whakarea 15 ki te tau huripoki o -\frac{1}{2}.

$$15\left(-2\right)$$

Whakareatia te 15 ki te -2, ka -30.

$$-30$$

Tauwehe

$$-30$$