Risolvi 663*10^-34*3*10^8/300*10^-9

$$663 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Calcola

$$\frac{663}{10000000000000000000}=6,63 \cdot 10^{-17}$$

Procedura della soluzione

Calcola 10 alla potenza di -34 e ottieni \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Moltiplica 663 e \frac{1}{10000000000000000000000000000000000} per ottenere \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Moltiplica \frac{663}{10000000000000000000000000000000000} e 3 per ottenere \frac{1989}{10000000000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

Per dividere potenze della stessa base, sottrai l'esponente del denominatore dall'esponente del numeratore.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Calcola 10 alla potenza di 17 e ottieni 100000000000000000.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Riduci la frazione \frac{100000000000000000}{300} ai minimi termini estraendo e annullando 100.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Moltiplica \frac{1989}{10000000000000000000000000000000000} e \frac{1000000000000000}{3} per ottenere \frac{663}{10000000000000000000}.

$$\frac{663}{10000000000000000000}$$

Scomponi in fattori

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {19} \cdot 5 ^ {19}} = 6,63 \times 10^{-17}$$