Riješi frac{5*10^{-6}c*9*10^-6c}{4pi*10006*8854*10^-12*c^2/Nm^2*15m}

$$\frac { 5 \cdot 10 ^ { - 6 } c \cdot 9 \cdot 10 ^ { - 6 } c } { 4 \pi \cdot 10006 \cdot 8854 \cdot 10 ^ { - 12 } \cdot \frac { c ^ { 2 } } { N m ^ { 2 } } \cdot 15 m }$$

Izračunaj

$$\frac{3Nm}{354372496\pi }$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte -6 i -6 da biste dobili -12.

$$\frac{5\times 10^{-12}c\times 9c}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite c i c da biste dobili c^{2}.

$$\frac{5\times 10^{-12}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Izračunajte koliko je -12 na 10 da biste dobili \frac{1}{1000000000000}.

$$\frac{5\times \frac{1}{1000000000000}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite 5 i \frac{1}{1000000000000} da biste dobili \frac{1}{200000000000}.

$$\frac{\frac{1}{200000000000}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite \frac{1}{200000000000} i 9 da biste dobili \frac{9}{200000000000}.

$$\frac{\frac{9}{200000000000}c^{2}}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite 4 i 10006 da biste dobili 40024.

$$\frac{\frac{9}{200000000000}c^{2}}{40024\pi \times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite 40024 i 8854 da biste dobili 354372496.

$$\frac{\frac{9}{200000000000}c^{2}}{354372496\pi \times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Izračunajte koliko je -12 na 10 da biste dobili \frac{1}{1000000000000}.

$$\frac{\frac{9}{200000000000}c^{2}}{354372496\pi \times \frac{1}{1000000000000}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite 354372496 i \frac{1}{1000000000000} da biste dobili \frac{22148281}{62500000000}.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{22148281}{62500000000}\pi \times \frac{c^{2}}{Nm^{2}}\times 15m}$$

Pomnožite \frac{22148281}{62500000000} i 15 da biste dobili \frac{66444843}{12500000000}.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843}{12500000000}\pi \times \frac{c^{2}}{Nm^{2}}m}$$

Pomnožite \frac{66444843}{12500000000} i \frac{c^{2}}{Nm^{2}} tako da pomnožite brojnik s brojnikom i nazivnik s nazivnikom.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}}{12500000000Nm^{2}}\pi m}$$

Izrazite \frac{66444843c^{2}}{12500000000Nm^{2}}m kao jedan razlomak.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}m}{12500000000Nm^{2}}\pi }$$

Skratite m u brojniku i nazivniku.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}}{12500000000Nm}\pi }$$

Izrazite \frac{66444843c^{2}}{12500000000Nm}\pi kao jedan razlomak.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}\pi }{12500000000Nm}}$$

Podijelite \frac{9}{200000000000}c^{2} s \frac{66444843c^{2}\pi }{12500000000Nm} tako da pomnožite \frac{9}{200000000000}c^{2} s brojem recipročnim broju \frac{66444843c^{2}\pi }{12500000000Nm}.

$$\frac{\frac{9}{200000000000}c^{2}\times 12500000000Nm}{66444843c^{2}\pi }$$

Skratite c^{2} u brojniku i nazivniku.

$$\frac{\frac{9}{200000000000}\times 12500000000Nm}{66444843\pi }$$

Pomnožite \frac{9}{200000000000} i 12500000000 da biste dobili \frac{9}{16}.

$$\frac{\frac{9}{16}Nm}{66444843\pi }$$

Diferenciraj u odnosu na N

$$\frac{3m}{354372496\pi }$$