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

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

Evaluate

$$\frac{13012500000000000000000000000000000000000000000000000000000000}{667}\approx 1.95089955 \cdot 10^{58}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 24 and 11 to get 35.

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

To multiply powers of the same base, add their exponents. Add 35 and 11 to get 46.

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

Calculate 10 to the power of 22 and get 10000000000000000000000.

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

Multiply 347 and 10000000000000000000000 to get 3470000000000000000000000.

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

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

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

Multiply \frac{3470000000000000000000000}{667} and \frac{1}{100000000000} to get \frac{34700000000000}{667}.

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

Express \frac{\frac{34700000000000}{667}}{6} as a single fraction.

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

Multiply 667 and 6 to get 4002.

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

Reduce the fraction \frac{34700000000000}{4002} to lowest terms by extracting and canceling out 2.

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

Calculate 10 to the power of 46 and get 10000000000000000000000000000000000000000000000.

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

Multiply \frac{17350000000000}{2001} and 10000000000000000000000000000000000000000000000 to get \frac{173500000000000000000000000000000000000000000000000000000000}{2001}.

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

Multiply \frac{173500000000000000000000000000000000000000000000000000000000}{2001} and 15 to get \frac{867500000000000000000000000000000000000000000000000000000000}{667}.

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

Multiply \frac{867500000000000000000000000000000000000000000000000000000000}{667} and 15 to get \frac{13012500000000000000000000000000000000000000000000000000000000}{667}.

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

Factor

$$\frac{2 ^ {56} \cdot 3 \cdot 5 ^ {59} \cdot 347}{23 \cdot 29} = 1.950899550224888 \times 10^{58}\frac{535}{667} = 1.950899550224888 \times 10^{58}$$