Riješi 4pi^2x(15*10^9)^3/6*67*10^-11*3600*24*365

$$\frac { 4 \pi ^ { 2 } x ( 15 \times 10 ^ { 9 } ) ^ { 3 } } { 6 \cdot 67 \times 10 ^ { - 11 } \times 3600 \times 24 \times 365 }$$

Procijeni

$$\frac{1562500000000000000000000000000000000\pi ^{2}x}{14673}$$

Koraci za rješenje

Otkaži 2\times 2 u brojiocu i imeniocu.

$$\frac{\pi ^{2}\times \left(15\times 10^{9}\right)^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Izračunajte 10 stepen od 9 i dobijte 1000000000.

$$\frac{\pi ^{2}\times \left(15\times 1000000000\right)^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 15 i 1000000000 da biste dobili 15000000000.

$$\frac{\pi ^{2}\times 15000000000^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Izračunajte 15000000000 stepen od 3 i dobijte 3375000000000000000000000000000.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 3 i 24 da biste dobili 72.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{72\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 72 i 67 da biste dobili 4824.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{4824\times 365\times 1800\times 10^{-11}}$$

Pomnožite 4824 i 365 da biste dobili 1760760.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{1760760\times 1800\times 10^{-11}}$$

Pomnožite 1760760 i 1800 da biste dobili 3169368000.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3169368000\times 10^{-11}}$$

Izračunajte 10 stepen od -11 i dobijte \frac{1}{100000000000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3169368000\times \frac{1}{100000000000}}$$

Pomnožite 3169368000 i \frac{1}{100000000000} da biste dobili \frac{396171}{12500000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{\frac{396171}{12500000}}$$

Podijelite \pi ^{2}\times 3375000000000000000000000000000x sa \frac{396171}{12500000} tako što ćete pomnožiti \pi ^{2}\times 3375000000000000000000000000000x recipročnom vrijednošću od \frac{396171}{12500000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x\times 12500000}{396171}$$

Pomnožite 3375000000000000000000000000000 i 12500000 da biste dobili 42187500000000000000000000000000000000.

$$\frac{\pi ^{2}\times 42187500000000000000000000000000000000x}{396171}$$

Podijelite \pi ^{2}\times 42187500000000000000000000000000000000x sa 396171 da biste dobili \pi ^{2}\times \frac{1562500000000000000000000000000000000}{14673}x.

$$\pi ^{2}\times \frac{1562500000000000000000000000000000000}{14673}x$$

Proširi

$$\frac{1562500000000000000000000000000000000\pi ^{2}x}{14673}$$

Koraci za rješenje

Otkaži 2\times 2 u brojiocu i imeniocu.

$$\frac{\pi ^{2}\times \left(15\times 10^{9}\right)^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Izračunajte 10 stepen od 9 i dobijte 1000000000.

$$\frac{\pi ^{2}\times \left(15\times 1000000000\right)^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 15 i 1000000000 da biste dobili 15000000000.

$$\frac{\pi ^{2}\times 15000000000^{3}x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Izračunajte 15000000000 stepen od 3 i dobijte 3375000000000000000000000000000.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3\times 24\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 3 i 24 da biste dobili 72.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{72\times 67\times 365\times 1800\times 10^{-11}}$$

Pomnožite 72 i 67 da biste dobili 4824.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{4824\times 365\times 1800\times 10^{-11}}$$

Pomnožite 4824 i 365 da biste dobili 1760760.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{1760760\times 1800\times 10^{-11}}$$

Pomnožite 1760760 i 1800 da biste dobili 3169368000.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3169368000\times 10^{-11}}$$

Izračunajte 10 stepen od -11 i dobijte \frac{1}{100000000000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{3169368000\times \frac{1}{100000000000}}$$

Pomnožite 3169368000 i \frac{1}{100000000000} da biste dobili \frac{396171}{12500000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x}{\frac{396171}{12500000}}$$

Podijelite \pi ^{2}\times 3375000000000000000000000000000x sa \frac{396171}{12500000} tako što ćete pomnožiti \pi ^{2}\times 3375000000000000000000000000000x recipročnom vrijednošću od \frac{396171}{12500000}.

$$\frac{\pi ^{2}\times 3375000000000000000000000000000x\times 12500000}{396171}$$

Pomnožite 3375000000000000000000000000000 i 12500000 da biste dobili 42187500000000000000000000000000000000.

$$\frac{\pi ^{2}\times 42187500000000000000000000000000000000x}{396171}$$

Podijelite \pi ^{2}\times 42187500000000000000000000000000000000x sa 396171 da biste dobili \pi ^{2}\times \frac{1562500000000000000000000000000000000}{14673}x.

$$\pi ^{2}\times \frac{1562500000000000000000000000000000000}{14673}x$$