Risolvi 1(35*10^7+11*10^6)*7*5*10^11/2*10^-22

$$\frac { 1 ( 35 \cdot 10 ^ { 7 } + 11 \cdot 10 ^ { 6 } ) \cdot 7 \cdot 5 \cdot 10 ^ { 11 } } { 2 \cdot 10 ^ { - 22 } }$$

Calcola

$$6317500000000000000000000000000000000000000$$

Procedura della soluzione

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

$$\frac{5\times 7\times 10^{33}\left(11\times 10^{6}+35\times 10^{7}\right)}{2}$$

Moltiplica 5 e 7 per ottenere 35.

$$\frac{35\times 10^{33}\left(11\times 10^{6}+35\times 10^{7}\right)}{2}$$

Calcola 10 alla potenza di 33 e ottieni 1000000000000000000000000000000000.

$$\frac{35\times 1000000000000000000000000000000000\left(11\times 10^{6}+35\times 10^{7}\right)}{2}$$

Moltiplica 35 e 1000000000000000000000000000000000 per ottenere 35000000000000000000000000000000000.

$$\frac{35000000000000000000000000000000000\left(11\times 10^{6}+35\times 10^{7}\right)}{2}$$

Calcola 10 alla potenza di 6 e ottieni 1000000.

$$\frac{35000000000000000000000000000000000\left(11\times 1000000+35\times 10^{7}\right)}{2}$$

Moltiplica 11 e 1000000 per ottenere 11000000.

$$\frac{35000000000000000000000000000000000\left(11000000+35\times 10^{7}\right)}{2}$$

Calcola 10 alla potenza di 7 e ottieni 10000000.

$$\frac{35000000000000000000000000000000000\left(11000000+35\times 10000000\right)}{2}$$

Moltiplica 35 e 10000000 per ottenere 350000000.

$$\frac{35000000000000000000000000000000000\left(11000000+350000000\right)}{2}$$

E 11000000 e 350000000 per ottenere 361000000.

$$\frac{35000000000000000000000000000000000\times 361000000}{2}$$

Moltiplica 35000000000000000000000000000000000 e 361000000 per ottenere 12635000000000000000000000000000000000000000.

$$\frac{12635000000000000000000000000000000000000000}{2}$$

Dividi 12635000000000000000000000000000000000000000 per 2 per ottenere 6317500000000000000000000000000000000000000.

$$6317500000000000000000000000000000000000000$$

Scomponi in fattori

$$2^{38}\times 5^{40}\times 7\times 19^{2}$$