Rešite 314*left(942div314div2right)^2*1/3*12*750=

$$314 \times { \left(942 \div 314 \div 2 \right) }^{ 2 } \times \frac{ 1 }{ 3 } \times 12 \times 750=$$

Ovrednoti

$$2119500$$

Koraki rešitve

Izrazite \frac{\frac{942}{314}}{2} kot enojni ulomek.

$$314\times \left(\frac{942}{314\times 2}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Pomnožite 314 in 2, da dobite 628.

$$314\times \left(\frac{942}{628}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Zmanjšajte ulomek \frac{942}{628} na najmanjši imenovalec tako, da izpeljete in okrajšate 314.

$$314\times \left(\frac{3}{2}\right)^{2}\times \frac{1}{3}\times 12\times 750$$

Izračunajte potenco \frac{3}{2} števila 2, da dobite \frac{9}{4}.

$$314\times \frac{9}{4}\times \frac{1}{3}\times 12\times 750$$

Pomnožite 314 in \frac{9}{4}, da dobite \frac{1413}{2}.

$$\frac{1413}{2}\times \frac{1}{3}\times 12\times 750$$

Pomnožite \frac{1413}{2} in \frac{1}{3}, da dobite \frac{471}{2}.

$$\frac{471}{2}\times 12\times 750$$

Pomnožite \frac{471}{2} in 12, da dobite 2826.

$$2826\times 750$$

Pomnožite 2826 in 750, da dobite 2119500.

$$2119500$$

Faktoriziraj

$$2^{2}\times 3^{3}\times 5^{3}\times 157$$