Risolvi frac{2*79^{2}*(16*10^{-19})^{2}cot75^circ}{9*10^9*2*76*10^6*16*10^-19}

$$\frac { 2 \times 79 ^ { 2 } \times ( 16 \times 10 ^ { - 19 } ) ^ { 2 } \cot 75 ^ { \circ } } { 9 \times 10 ^ { 9 } \times 2 \times 76 \times 10 ^ { 6 } \times 16 \times 10 ^ { - 19 } }$$

Calcola

$$\frac{5574236366542122569}{1425000000000000000000000000000000000000000000000000}\approx 3,911744819 \cdot 10^{-33}$$

Procedura della soluzione

Calcola funzioni trigonometriche nel problema

$$\frac{2 \cdot 79 ^ {2} \cdot {(16 \cdot 10 ^ {-19})} ^ {2} 0,2679491924311227}{9 \cdot 10 ^ {9} \cdot 2 \cdot 76 \cdot 10 ^ {6} \cdot 16 \cdot 10 ^ {-19}}$$

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma 9 e 6 per ottenere 15.

$$\frac{2\times 79^{2}\times \left(16\times 10^{-19}\right)^{2}\times 0,2679491924311227}{9\times 10^{15}\times 2\times 76\times 16\times 10^{-19}}$$

Per moltiplicare le potenze della stessa base, somma i relativi esponenti. Somma 15 e -19 per ottenere -4.

$$\frac{2\times 79^{2}\times \left(16\times 10^{-19}\right)^{2}\times 0,2679491924311227}{9\times 10^{-4}\times 2\times 76\times 16}$$

Cancella 2 nel numeratore e nel denominatore.

$$\frac{0,2679491924311227\times 79^{2}\times \left(16\times 10^{-19}\right)^{2}}{9\times 16\times 76\times 10^{-4}}$$

Calcola 79 alla potenza di 2 e ottieni 6241.

$$\frac{0,2679491924311227\times 6241\times \left(16\times 10^{-19}\right)^{2}}{9\times 16\times 76\times 10^{-4}}$$

Moltiplica 0,2679491924311227 e 6241 per ottenere 1672,2709099626367707.

$$\frac{1672,2709099626367707\times \left(16\times 10^{-19}\right)^{2}}{9\times 16\times 76\times 10^{-4}}$$

Calcola 10 alla potenza di -19 e ottieni \frac{1}{10000000000000000000}.

$$\frac{1672,2709099626367707\times \left(16\times \frac{1}{10000000000000000000}\right)^{2}}{9\times 16\times 76\times 10^{-4}}$$

Moltiplica 16 e \frac{1}{10000000000000000000} per ottenere \frac{1}{625000000000000000}.

$$\frac{1672,2709099626367707\times \left(\frac{1}{625000000000000000}\right)^{2}}{9\times 16\times 76\times 10^{-4}}$$

Calcola \frac{1}{625000000000000000} alla potenza di 2 e ottieni \frac{1}{390625000000000000000000000000000000}.

$$\frac{1672,2709099626367707\times \frac{1}{390625000000000000000000000000000000}}{9\times 16\times 76\times 10^{-4}}$$

Moltiplica 1672,2709099626367707 e \frac{1}{390625000000000000000000000000000000} per ottenere \frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}.

$$\frac{\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}}{9\times 16\times 76\times 10^{-4}}$$

Moltiplica 9 e 16 per ottenere 144.

$$\frac{\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}}{144\times 76\times 10^{-4}}$$

Moltiplica 144 e 76 per ottenere 10944.

$$\frac{\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}}{10944\times 10^{-4}}$$

Calcola 10 alla potenza di -4 e ottieni \frac{1}{10000}.

$$\frac{\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}}{10944\times \frac{1}{10000}}$$

Moltiplica 10944 e \frac{1}{10000} per ottenere \frac{684}{625}.

$$\frac{\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}}{\frac{684}{625}}$$

Dividi \frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000} per\frac{684}{625} moltiplicando \frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000} per il reciproco di \frac{684}{625}.

$$\frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000}\times \frac{625}{684}$$

Moltiplica \frac{16722709099626367707}{3906250000000000000000000000000000000000000000000000} e \frac{625}{684} per ottenere \frac{5574236366542122569}{1425000000000000000000000000000000000000000000000000}.

$$\frac{5574236366542122569}{1425000000000000000000000000000000000000000000000000}$$

Scomponi in fattori

$$\frac{20887 \cdot 42761716607 \cdot 79 ^ {2}}{3 \cdot 19 \cdot 2 ^ {48} \cdot 5 ^ {50}} = 3,911744818626051 \times 10^{-33}$$