Solve 1100^27410^9/667*10^-11

$$\frac{ { 1100 }^{ 2 } 74 { 10 }^{ 9 } }{ 667 \times { 10 }^{ -11 } }$$

Evaluate

$$\frac{8954000000000000000000000000}{667}\approx 1.342428786 \cdot 10^{25}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{74\times 10^{20}\times 1100^{2}}{667}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{74\times 100000000000000000000\times 1100^{2}}{667}$$

Multiply 74 and 100000000000000000000 to get 7400000000000000000000.

$$\frac{7400000000000000000000\times 1100^{2}}{667}$$

Calculate 1100 to the power of 2 and get 1210000.

$$\frac{7400000000000000000000\times 1210000}{667}$$

Multiply 7400000000000000000000 and 1210000 to get 8954000000000000000000000000.

$$\frac{8954000000000000000000000000}{667}$$

Factor

$$\frac{2 ^ {25} \cdot 5 ^ {24} \cdot 11 ^ {2} \cdot 37}{23 \cdot 29} = 1.3424287856071964 \times 10^{25}\frac{32}{667} = 1.3424287856071964 \times 10^{25}$$