Issolvi 8.9910^86.410^-129.610^-16/{left(8.210^-4right)^2}

$$\frac{ 8.99 { 10 }^{ 8 } 6.4 { 10 }^{ -12 } 9.6 { 10 }^{ -16 } }{ { \left(8.2 { 10 }^{ -4 } \right) }^{ 2 } }$$

Evalwa

$$\frac{2697}{328320312500000}\approx 8.214538965 \cdot 10^{-12}$$

Passi tas-Soluzzjonijiet

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 8 u -12 biex tikseb -4.

$$\frac{8.99\times 10^{-4}\times 6.4\times 9.6\times 10^{-16}}{\left(8.2\times 10^{-4}\right)^{2}}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid -4 u -16 biex tikseb -20.

$$\frac{8.99\times 10^{-20}\times 6.4\times 9.6}{\left(8.2\times 10^{-4}\right)^{2}}$$

Ikkalkula 10 bil-power ta' -20 u tikseb \frac{1}{100000000000000000000}.

$$\frac{8.99\times \frac{1}{100000000000000000000}\times 6.4\times 9.6}{\left(8.2\times 10^{-4}\right)^{2}}$$

Immultiplika 8.99 u \frac{1}{100000000000000000000} biex tikseb \frac{899}{10000000000000000000000}.

$$\frac{\frac{899}{10000000000000000000000}\times 6.4\times 9.6}{\left(8.2\times 10^{-4}\right)^{2}}$$

Immultiplika \frac{899}{10000000000000000000000} u 6.4 biex tikseb \frac{899}{1562500000000000000000}.

$$\frac{\frac{899}{1562500000000000000000}\times 9.6}{\left(8.2\times 10^{-4}\right)^{2}}$$

Immultiplika \frac{899}{1562500000000000000000} u 9.6 biex tikseb \frac{2697}{488281250000000000000}.

$$\frac{\frac{2697}{488281250000000000000}}{\left(8.2\times 10^{-4}\right)^{2}}$$

Ikkalkula 10 bil-power ta' -4 u tikseb \frac{1}{10000}.

$$\frac{\frac{2697}{488281250000000000000}}{\left(8.2\times \frac{1}{10000}\right)^{2}}$$

Immultiplika 8.2 u \frac{1}{10000} biex tikseb \frac{41}{50000}.

$$\frac{\frac{2697}{488281250000000000000}}{\left(\frac{41}{50000}\right)^{2}}$$

Ikkalkula \frac{41}{50000} bil-power ta' 2 u tikseb \frac{1681}{2500000000}.

$$\frac{\frac{2697}{488281250000000000000}}{\frac{1681}{2500000000}}$$

Iddividi \frac{2697}{488281250000000000000} b'\frac{1681}{2500000000} billi timmultiplika \frac{2697}{488281250000000000000} bir-reċiproku ta' \frac{1681}{2500000000}.

$$\frac{2697}{488281250000000000000}\times \frac{2500000000}{1681}$$

Immultiplika \frac{2697}{488281250000000000000} u \frac{2500000000}{1681} biex tikseb \frac{2697}{328320312500000}.

$$\frac{2697}{328320312500000}$$

Fattur

$$\frac{3 \cdot 29 \cdot 31}{2 ^ {5} \cdot 5 ^ {14} \cdot 41 ^ {2}} = 8.214538964901845 \times 10^{-12}$$