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

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

Arvuta

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

Lahenduse etapid

Sama alusega astmete korrutamiseks liitke astendajad. Liitke -6 ja -6, et saada -12.

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

Korrutage c ja c, et leida c^{2}.

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

Arvutage -12 aste 10 ja leidke \frac{1}{1000000000000}.

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

Korrutage 5 ja \frac{1}{1000000000000}, et leida \frac{1}{200000000000}.

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

Korrutage \frac{1}{200000000000} ja 9, et leida \frac{9}{200000000000}.

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

Korrutage 4 ja 10006, et leida 40024.

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

Korrutage 40024 ja 8854, et leida 354372496.

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

Arvutage -12 aste 10 ja leidke \frac{1}{1000000000000}.

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

Korrutage 354372496 ja \frac{1}{1000000000000}, et leida \frac{22148281}{62500000000}.

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

Korrutage \frac{22148281}{62500000000} ja 15, et leida \frac{66444843}{12500000000}.

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

Korrutage omavahel \frac{66444843}{12500000000} ja \frac{c^{2}}{Nm^{2}}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Avaldage \frac{66444843c^{2}}{12500000000Nm^{2}}m ühe murdarvuna.

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

Taandage m nii lugejas kui ka nimetajas.

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

Avaldage \frac{66444843c^{2}}{12500000000Nm}\pi ühe murdarvuna.

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

Jagage \frac{9}{200000000000}c^{2} väärtusega \frac{66444843c^{2}\pi }{12500000000Nm}, korrutades \frac{9}{200000000000}c^{2} väärtuse \frac{66444843c^{2}\pi }{12500000000Nm} pöördväärtusega.

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

Taandage c^{2} nii lugejas kui ka nimetajas.

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

Korrutage \frac{9}{200000000000} ja 12500000000, et leida \frac{9}{16}.

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

Diferentseeri N-i järgi

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