Issolvi 316*9*10^9left(1.6*10^-19right)^2/6.64*10^-27{left(5*{10^7right)}^-2}

$$\frac{ 316 \cdot 9 \times { 10 }^{ 9 } { \left(1.6 \times { 10 }^{ -19 } \right) }^{ 2 } }{ 6.64 \times { 10 }^{ -27 } { \left(5 \times { 10 }^{ 7 } \right) }^{ -2 } }$$

Evalwa

$$\frac{2275200000000000000}{83}\approx 2.741204819 \cdot 10^{16}$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur.

$$\frac{9\times 316\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Immultiplika 9 u 316 biex tikseb 2844.

$$\frac{2844\times 10^{36}\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Ikkalkula 10 bil-power ta' 36 u tikseb 1000000000000000000000000000000000000.

$$\frac{2844\times 1000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Immultiplika 2844 u 1000000000000000000000000000000000000 biex tikseb 2844000000000000000000000000000000000000.

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times 10^{-19}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Ikkalkula 10 bil-power ta' -19 u tikseb \frac{1}{10000000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \left(1.6\times \frac{1}{10000000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Immultiplika 1.6 u \frac{1}{10000000000000000000} biex tikseb \frac{1}{6250000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \left(\frac{1}{6250000000000000000}\right)^{2}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Ikkalkula \frac{1}{6250000000000000000} bil-power ta' 2 u tikseb \frac{1}{39062500000000000000000000000000000000}.

$$\frac{2844000000000000000000000000000000000000\times \frac{1}{39062500000000000000000000000000000000}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Immultiplika 2844000000000000000000000000000000000000 u \frac{1}{39062500000000000000000000000000000000} biex tikseb \frac{45504}{625}.

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10^{7}\right)^{-2}}$$

Ikkalkula 10 bil-power ta' 7 u tikseb 10000000.

$$\frac{\frac{45504}{625}}{6.64\times \left(5\times 10000000\right)^{-2}}$$

Immultiplika 5 u 10000000 biex tikseb 50000000.

$$\frac{\frac{45504}{625}}{6.64\times 50000000^{-2}}$$

Ikkalkula 50000000 bil-power ta' -2 u tikseb \frac{1}{2500000000000000}.

$$\frac{\frac{45504}{625}}{6.64\times \frac{1}{2500000000000000}}$$

Immultiplika 6.64 u \frac{1}{2500000000000000} biex tikseb \frac{83}{31250000000000000}.

$$\frac{\frac{45504}{625}}{\frac{83}{31250000000000000}}$$

Iddividi \frac{45504}{625} b'\frac{83}{31250000000000000} billi timmultiplika \frac{45504}{625} bir-reċiproku ta' \frac{83}{31250000000000000}.

$$\frac{45504}{625}\times \frac{31250000000000000}{83}$$

Immultiplika \frac{45504}{625} u \frac{31250000000000000}{83} biex tikseb \frac{2275200000000000000}{83}.

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

Fattur

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