Whakaoti i te left(100*10right)^-3sqrt{{left(2*2*10^340/36/15right)}^2+left(2*200*10^3right)^2}

$${ \left(100 \times 10 \right) }^{ -3 } \sqrt{ { \left( \frac{ 2 \cdot 2 \times 1 { 0 }^{ 3 } \frac{ 40 }{ 36 } }{ 15 } \right) }^{ 2 } + { \left(2 \cdot 200 \times { 10 }^{ 3 } \right) }^{ 2 } }$$

Aromātai

$$\frac{1}{2500}=0.0004$$

Ngā Upane Otinga

Whakareatia te 100 ki te 10, ka 1000.

$$1000^{-3}\sqrt{\left(\frac{2\times 2\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Tātaihia te 1000 mā te pū o -3, kia riro ko \frac{1}{1000000000}.

$$\frac{1}{1000000000}\sqrt{\left(\frac{2\times 2\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 1\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakareatia te 4 ki te 1, ka 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 0^{3}\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Tātaihia te 0 mā te pū o 3, kia riro ko 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{4\times 0\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakareatia te 4 ki te 0, ka 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0\times \frac{40}{36}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakahekea te hautanga \frac{40}{36} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0\times \frac{10}{9}}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakareatia te 0 ki te \frac{10}{9}, ka 0.

$$\frac{1}{1000000000}\sqrt{\left(\frac{0}{15}\right)^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$\frac{1}{1000000000}\sqrt{0^{2}+\left(2\times 200\times 10^{3}\right)^{2}}$$

Tātaihia te 0 mā te pū o 2, kia riro ko 0.

$$\frac{1}{1000000000}\sqrt{0+\left(2\times 200\times 10^{3}\right)^{2}}$$

Whakareatia te 2 ki te 200, ka 400.

$$\frac{1}{1000000000}\sqrt{0+\left(400\times 10^{3}\right)^{2}}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$\frac{1}{1000000000}\sqrt{0+\left(400\times 1000\right)^{2}}$$

Whakareatia te 400 ki te 1000, ka 400000.

$$\frac{1}{1000000000}\sqrt{0+400000^{2}}$$

Tātaihia te 400000 mā te pū o 2, kia riro ko 160000000000.

$$\frac{1}{1000000000}\sqrt{0+160000000000}$$

Tāpirihia te 0 ki te 160000000000, ka 160000000000.

$$\frac{1}{1000000000}\sqrt{160000000000}$$

Tātaitia te pūtakerua o 160000000000 kia tae ki 400000.

$$\frac{1}{1000000000}\times 400000$$

Whakareatia te \frac{1}{1000000000} ki te 400000, ka \frac{1}{2500}.

$$\frac{1}{2500}$$

Tauwehe

$$\frac{1}{2 ^ {2} \cdot 5 ^ {4}} = 0.0004$$