Solve 2410^-2/0.01*1.38*10^-23

$$\frac{ 24 { 10 }^{ -2 } }{ 0.01 \cdot 1.38 \times { 10 }^{ -23 } }$$

Evaluate

$$\frac{40000000000000000000000000}{23}\approx 1.739130435 \cdot 10^{24}$$

Solution Steps

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

$$\frac{24\times 10^{21}}{0.01\times 1.38}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{24\times 1000000000000000000000}{0.01\times 1.38}$$

Multiply 24 and 1000000000000000000000 to get 24000000000000000000000.

$$\frac{24000000000000000000000}{0.01\times 1.38}$$

Multiply 0.01 and 1.38 to get 0.0138.

$$\frac{24000000000000000000000}{0.0138}$$

Expand \frac{24000000000000000000000}{0.0138} by multiplying both numerator and the denominator by 10000.

$$\frac{240000000000000000000000000}{138}$$

Reduce the fraction \frac{240000000000000000000000000}{138} to lowest terms by extracting and canceling out 6.

$$\frac{40000000000000000000000000}{23}$$

Factor

$$\frac{2 ^ {27} \cdot 5 ^ {25}}{23} = 1.7391304347826089 \times 10^{24}\frac{11}{23} = 1.7391304347826089 \times 10^{24}$$