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

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

Ovrednoti

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

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte -6 in -6, da dobite -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 in c, da dobite 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 potenco 10 števila -12, da dobite \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 in \frac{1}{1000000000000}, da dobite \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} in 9, da dobite \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 in 10006, da dobite 40024.

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

Pomnožite 40024 in 8854, da dobite 354372496.

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

Izračunajte potenco 10 števila -12, da dobite \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 in \frac{1}{1000000000000}, da dobite \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} in 15, da dobite \frac{66444843}{12500000000}.

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

Pomnožite \frac{66444843}{12500000000} s/z \frac{c^{2}}{Nm^{2}} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Izrazite \frac{66444843c^{2}}{12500000000Nm^{2}}m kot enojni ulomek.

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

Okrajšaj m v števcu in imenovalcu.

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

Izrazite \frac{66444843c^{2}}{12500000000Nm}\pi kot enojni ulomek.

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

Delite \frac{9}{200000000000}c^{2} s/z \frac{66444843c^{2}\pi }{12500000000Nm} tako, da pomnožite \frac{9}{200000000000}c^{2} z obratno vrednostjo \frac{66444843c^{2}\pi }{12500000000Nm}.

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

Okrajšaj c^{2} v števcu in imenovalcu.

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

Pomnožite \frac{9}{200000000000} in 12500000000, da dobite \frac{9}{16}.

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

Odvajajte w.r.t. N

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