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

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

Calcula

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

Passos de solució

Per multiplicar potències de la mateixa base, afegiu-ne els exponents. Afegiu 24 i 11 per obtenir 35.

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

Per multiplicar potències de la mateixa base, afegiu-ne els exponents. Afegiu 35 i 11 per obtenir 46.

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

Calculeu 10 elevat a 22 per obtenir 10000000000000000000000.

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

Multipliqueu 347 per 10000000000000000000000 per obtenir 3470000000000000000000000.

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

Calculeu 10 elevat a -11 per obtenir \frac{1}{100000000000}.

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

Multipliqueu \frac{3470000000000000000000000}{667} per \frac{1}{100000000000} per obtenir \frac{34700000000000}{667}.

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

Expresseu \frac{\frac{34700000000000}{667}}{6} com a fracció senzilla.

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

Multipliqueu 667 per 6 per obtenir 4002.

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

Redueix la fracció \frac{34700000000000}{4002} al màxim extraient i anul·lant 2.

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

Calculeu 10 elevat a 46 per obtenir 10000000000000000000000000000000000000000000000.

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

Multipliqueu \frac{17350000000000}{2001} per 10000000000000000000000000000000000000000000000 per obtenir \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

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

Multipliqueu \frac{173500000000000000000000000000000000000000000000000000000000}{2001} per 15 per obtenir \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

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

Multipliqueu \frac{867500000000000000000000000000000000000000000000000000000000}{667} per 15 per obtenir \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

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

Factoritzar

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