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

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

Izrēķināt

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

Atrisinājuma darbības

Reiziniet 100 un 10, lai iegūtu 1000.

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

Aprēķiniet 1000 pakāpē -3 un iegūstiet \frac{1}{1000000000}.

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

Reiziniet 2 un 2, lai iegūtu 4.

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

Reiziniet 4 un 1, lai iegūtu 4.

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

Aprēķiniet 0 pakāpē 3 un iegūstiet 0.

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

Reiziniet 4 un 0, lai iegūtu 0.

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

Vienādot daļskaitli \frac{40}{36} līdz mazākajam loceklim, izvelkot un saīsinot 4.

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

Reiziniet 0 un \frac{10}{9}, lai iegūtu 0.

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

Dalot nulli ar jebkuru skaitli, kas nav nulle, iegūst nulli.

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

Aprēķiniet 0 pakāpē 2 un iegūstiet 0.

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

Reiziniet 2 un 200, lai iegūtu 400.

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

Aprēķiniet 10 pakāpē 3 un iegūstiet 1000.

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

Reiziniet 400 un 1000, lai iegūtu 400000.

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

Aprēķiniet 400000 pakāpē 2 un iegūstiet 160000000000.

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

Saskaitiet 0 un 160000000000, lai iegūtu 160000000000.

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

Aprēķināt kvadrātsakni no 160000000000 un iegūt 400000.

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

Reiziniet \frac{1}{1000000000} un 400000, lai iegūtu \frac{1}{2500}.

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

Sadalīt reizinātājos

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