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

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

Procijeni

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

Koraci za rješenje

Pomnožite 100 i 10 da biste dobili 1000.

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

Izračunajte 1000 stepen od -3 i dobijte \frac{1}{1000000000}.

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

Pomnožite 2 i 2 da biste dobili 4.

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

Pomnožite 4 i 1 da biste dobili 4.

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

Izračunajte 0 stepen od 3 i dobijte 0.

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

Pomnožite 4 i 0 da biste dobili 0.

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

Svedite razlomak \frac{40}{36} na najprostije elemente rastavlјanjem i kraćenjem 4.

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

Pomnožite 0 i \frac{10}{9} da biste dobili 0.

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

Nula podijelјena bilo kojim brojem koji nije nula daje nulu.

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

Izračunajte 0 stepen od 2 i dobijte 0.

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

Pomnožite 2 i 200 da biste dobili 400.

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

Izračunajte 10 stepen od 3 i dobijte 1000.

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

Pomnožite 400 i 1000 da biste dobili 400000.

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

Izračunajte 400000 stepen od 2 i dobijte 160000000000.

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

Saberite 0 i 160000000000 da biste dobili 160000000000.

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

Izračunajte kvadratni koren od 160000000000 i dobijte 400000.

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

Pomnožite \frac{1}{1000000000} i 400000 da biste dobili \frac{1}{2500}.

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

Faktor

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