Solve 6.02*10^23div8.314*10^3=

$$6.02 \times { 10 }^{ 23 } \div 8.314 \times { 10 }^{ 3 } =$$

Evaluate

$$\frac{301000000000000000000000000000}{4157}\approx 7.240798653 \cdot 10^{25}$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{6.02\times 100000000000000000000000}{8.314}\times 10^{3}$$

Multiply 6.02 and 100000000000000000000000 to get 602000000000000000000000.

$$\frac{602000000000000000000000}{8.314}\times 10^{3}$$

Expand \frac{602000000000000000000000}{8.314} by multiplying both numerator and the denominator by 1000.

$$\frac{602000000000000000000000000}{8314}\times 10^{3}$$

Reduce the fraction \frac{602000000000000000000000000}{8314} to lowest terms by extracting and canceling out 2.

$$\frac{301000000000000000000000000}{4157}\times 10^{3}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{301000000000000000000000000}{4157}\times 1000$$

Express \frac{301000000000000000000000000}{4157}\times 1000 as a single fraction.

$$\frac{301000000000000000000000000\times 1000}{4157}$$

Multiply 301000000000000000000000000 and 1000 to get 301000000000000000000000000000.

$$\frac{301000000000000000000000000000}{4157}$$

Factor

$$\frac{7 \cdot 43 \cdot 2 ^ {27} \cdot 5 ^ {27}}{4157} = 7.240798652874669 \times 10^{25}\frac{2311}{4157} = 7.240798652874669 \times 10^{25}$$