Whakaoti i te frac{(9*10^{9})*(45*10^-6)*(5*10^-6)}{(15*10^-2)^2}

$$\frac { ( 9 \times 10 ^ { 9 } ) \times ( 45 \times 10 ^ { - 6 } ) \times ( 5 \times 10 ^ { - 6 } ) } { ( 15 \times 10 ^ { - 2 } ) ^ { 2 } }$$

Aromātai

$$90$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 9 me te -6 kia riro ai te 3.

$$\frac{9\times 10^{3}\times 45\times 5\times 10^{-6}}{\left(15\times 10^{-2}\right)^{2}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te -6 kia riro ai te -3.

$$\frac{9\times 10^{-3}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

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

$$\frac{9\times \frac{1}{1000}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

Whakareatia te 9 ki te \frac{1}{1000}, ka \frac{9}{1000}.

$$\frac{\frac{9}{1000}\times 45\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

Whakareatia te \frac{9}{1000} ki te 45, ka \frac{81}{200}.

$$\frac{\frac{81}{200}\times 5}{\left(15\times 10^{-2}\right)^{2}}$$

Whakareatia te \frac{81}{200} ki te 5, ka \frac{81}{40}.

$$\frac{\frac{81}{40}}{\left(15\times 10^{-2}\right)^{2}}$$

Tātaihia te 10 mā te pū o -2, kia riro ko \frac{1}{100}.

$$\frac{\frac{81}{40}}{\left(15\times \frac{1}{100}\right)^{2}}$$

Whakareatia te 15 ki te \frac{1}{100}, ka \frac{3}{20}.

$$\frac{\frac{81}{40}}{\left(\frac{3}{20}\right)^{2}}$$

Tātaihia te \frac{3}{20} mā te pū o 2, kia riro ko \frac{9}{400}.

$$\frac{\frac{81}{40}}{\frac{9}{400}}$$

Whakawehe \frac{81}{40} ki te \frac{9}{400} mā te whakarea \frac{81}{40} ki te tau huripoki o \frac{9}{400}.

$$\frac{81}{40}\times \frac{400}{9}$$

Whakareatia te \frac{81}{40} ki te \frac{400}{9}, ka 90.

$$90$$

Tauwehe

$$2\times 3^{2}\times 5$$