Riješi 347*10^22div667*10^-11div6*10^24*15*10^11*15*{10}^11

$$347 \times { 10 }^{ 22 } \div 667 \times { 10 }^{ -11 } \div 6 \times { 10 }^{ 24 } \times 15 \times { 10 }^{ 11 } \times 15 \times { 10 }^{ 11 }$$

Izračunaj

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1,95089955 \cdot 10^{58}$$

Koraci rješenja

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte 24 i 11 da biste dobili 35.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{35}\times 15\times 15\times 10^{11}$$

Da biste pomnožili potencije s istom bazom, zbrojite eksponente. Dodajte 35 i 11 da biste dobili 46.

$$\frac{\frac{347\times 10^{22}}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Izračunajte koliko je 22 na 10 da biste dobili 10000000000000000000000.

$$\frac{\frac{347\times 10000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Pomnožite 347 i 10000000000000000000000 da biste dobili 3470000000000000000000000.

$$\frac{\frac{3470000000000000000000000}{667}\times 10^{-11}}{6}\times 10^{46}\times 15\times 15$$

Izračunajte koliko je -11 na 10 da biste dobili \frac{1}{100000000000}.

$$\frac{\frac{3470000000000000000000000}{667}\times \frac{1}{100000000000}}{6}\times 10^{46}\times 15\times 15$$

Pomnožite \frac{3470000000000000000000000}{667} i \frac{1}{100000000000} da biste dobili \frac{34700000000000}{667}.

$$\frac{\frac{34700000000000}{667}}{6}\times 10^{46}\times 15\times 15$$

Izrazite \frac{\frac{34700000000000}{667}}{6} kao jedan razlomak.

$$\frac{34700000000000}{667\times 6}\times 10^{46}\times 15\times 15$$

Pomnožite 667 i 6 da biste dobili 4002.

$$\frac{34700000000000}{4002}\times 10^{46}\times 15\times 15$$

Skratite razlomak \frac{34700000000000}{4002} na najmanje vrijednosti tako da izlučite i poništite 2.

$$\frac{17350000000000}{2001}\times 10^{46}\times 15\times 15$$

Izračunajte koliko je 46 na 10 da biste dobili 10000000000000000000000000000000000000000000000.

$$\frac{17350000000000}{2001}\times 10000000000000000000000000000000000000000000000\times 15\times 15$$

Pomnožite \frac{17350000000000}{2001} i 10000000000000000000000000000000000000000000000 da biste dobili \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

$$\frac{173500000000000000000000000000000000000000000000000000000000}{2001}\times 15\times 15$$

Pomnožite \frac{173500000000000000000000000000000000000000000000000000000000}{2001} i 15 da biste dobili \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{867500000000000000000000000000000000000000000000000000000000}{667}\times 15$$

Pomnožite \frac{867500000000000000000000000000000000000000000000000000000000}{667} i 15 da biste dobili \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}$$

Faktor

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1,950899550224888 \times 10^{58}\frac{535}{667} = 1,950899550224888 \times 10^{58}$$