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

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

Arvuta

$$\frac{1}{2500}=0,0004$$

Lahenduse etapid

Korrutage 100 ja 10, et leida 1000.

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

Arvutage -3 aste 1000 ja leidke \frac{1}{1000000000}.

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

Korrutage 2 ja 2, et leida 4.

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

Korrutage 4 ja 1, et leida 4.

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

Arvutage 3 aste 0 ja leidke 0.

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

Korrutage 4 ja 0, et leida 0.

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

Taandage murd \frac{40}{36} vähimale ühiskordsele, eraldades ja taandades arvu 4.

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

Korrutage 0 ja \frac{10}{9}, et leida 0.

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

Nulli jagamisel nullist erineva arvuga on tulemuseks null.

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

Arvutage 2 aste 0 ja leidke 0.

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

Korrutage 2 ja 200, et leida 400.

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

Arvutage 3 aste 10 ja leidke 1000.

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

Korrutage 400 ja 1000, et leida 400000.

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

Arvutage 2 aste 400000 ja leidke 160000000000.

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

Liitke 0 ja 160000000000, et leida 160000000000.

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

Arvutage 160000000000 ruutjuur, et saada 400000.

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

Korrutage \frac{1}{1000000000} ja 400000, et leida \frac{1}{2500}.

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

Lahuta teguriteks

$$\frac{1}{2 ^ {2} \cdot 5 ^ {4}} = 0,0004$$