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

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

Izrēķināt

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

Atrisinājuma darbības

Lai reizinātu vienas bāzes pakāpes, saskaitiet kāpinātājus. Saskaitiet -6 un -6, lai iegūtu -12.

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

Reiziniet c un c, lai iegūtu c^{2}.

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

Aprēķiniet 10 pakāpē -12 un iegūstiet \frac{1}{1000000000000}.

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

Reiziniet 5 un \frac{1}{1000000000000}, lai iegūtu \frac{1}{200000000000}.

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

Reiziniet \frac{1}{200000000000} un 9, lai iegūtu \frac{9}{200000000000}.

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

Reiziniet 4 un 10006, lai iegūtu 40024.

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

Reiziniet 40024 un 8854, lai iegūtu 354372496.

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

Aprēķiniet 10 pakāpē -12 un iegūstiet \frac{1}{1000000000000}.

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

Reiziniet 354372496 un \frac{1}{1000000000000}, lai iegūtu \frac{22148281}{62500000000}.

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

Reiziniet \frac{22148281}{62500000000} un 15, lai iegūtu \frac{66444843}{12500000000}.

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

Reiziniet \frac{66444843}{12500000000} ar \frac{c^{2}}{Nm^{2}}, reizinot skaitītāju ar skaitītāju un saucēju ar saucēju.

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

Izsakiet \frac{66444843c^{2}}{12500000000Nm^{2}}m kā vienu daļskaitli.

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

Saīsiniet m gan skaitītājā, gan saucējā.

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

Izsakiet \frac{66444843c^{2}}{12500000000Nm}\pi kā vienu daļskaitli.

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

Daliet \frac{9}{200000000000}c^{2} ar \frac{66444843c^{2}\pi }{12500000000Nm}, reizinot \frac{9}{200000000000}c^{2} ar apgriezto daļskaitli \frac{66444843c^{2}\pi }{12500000000Nm} .

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

Saīsiniet c^{2} gan skaitītājā, gan saucējā.

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

Reiziniet \frac{9}{200000000000} un 12500000000, lai iegūtu \frac{9}{16}.

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

Diferencēt pēc N

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