Lahenda 316*9*10^9left(16*10^-19right)^2/664*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(16 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 664 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

Arvuta

$$\frac{2275200000000000000}{83}\approx 2,741204819 \cdot 10^{16}$$

Lahenduse etapid

Taandage 4 nii lugejas kui ka nimetajas.

$$\frac{9\times 79\times 10^{9}\times \left(16\times 10^{-19}\right)^{2}}{166\times 10^{-27}\times \left(5\times 10^{7}\right)^{-2}}$$

Sama alusega astmete jagamiseks lahutage nimetaja astendaja lugeja astendajast.

$$\frac{9\times 79\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Korrutage 9 ja 79, et leida 711.

$$\frac{711\times 10^{36}\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Arvutage 36 aste 10 ja leidke 1000000000000000000000000000000000000.

$$\frac{711\times 1000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Korrutage 711 ja 1000000000000000000000000000000000000, et leida 711000000000000000000000000000000000000.

$$\frac{711000000000000000000000000000000000000\times \left(16\times 10^{-19}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Arvutage -19 aste 10 ja leidke \frac{1}{10000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Korrutage 16 ja \frac{1}{10000000000000000000}, et leida \frac{1}{625000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \left(\frac{1}{625000000000000000}\right)^{2}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Arvutage 2 aste \frac{1}{625000000000000000} ja leidke \frac{1}{390625000000000000000000000000000000}.

$$\frac{711000000000000000000000000000000000000\times \frac{1}{390625000000000000000000000000000000}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Korrutage 711000000000000000000000000000000000000 ja \frac{1}{390625000000000000000000000000000000}, et leida \frac{45504}{25}.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10^{7}\right)^{-2}}$$

Arvutage 7 aste 10 ja leidke 10000000.

$$\frac{\frac{45504}{25}}{166\times \left(5\times 10000000\right)^{-2}}$$

Korrutage 5 ja 10000000, et leida 50000000.

$$\frac{\frac{45504}{25}}{166\times 50000000^{-2}}$$

Arvutage -2 aste 50000000 ja leidke \frac{1}{2500000000000000}.

$$\frac{\frac{45504}{25}}{166\times \frac{1}{2500000000000000}}$$

Korrutage 166 ja \frac{1}{2500000000000000}, et leida \frac{83}{1250000000000000}.

$$\frac{\frac{45504}{25}}{\frac{83}{1250000000000000}}$$

Jagage \frac{45504}{25} väärtusega \frac{83}{1250000000000000}, korrutades \frac{45504}{25} väärtuse \frac{83}{1250000000000000} pöördväärtusega.

$$\frac{45504}{25}\times \frac{1250000000000000}{83}$$

Korrutage \frac{45504}{25} ja \frac{1250000000000000}{83}, et leida \frac{2275200000000000000}{83}.

$$\frac{2275200000000000000}{83}$$

Lahuta teguriteks

$$\frac{2 ^ {19} \cdot 3 ^ {2} \cdot 5 ^ {14} \cdot 79}{83} = 27412048192771084\frac{28}{83} = 27412048192771084$$