Solve 10^23/30*1.38*10^-23*300

$$\frac{ { 10 }^{ 23 } }{ 30 } \times 1.38 \times { 10 }^{ -23 } \times 300$$

Evaluate

$$13.8$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{100000000000000000000000}{30}\times 1.38\times 10^{-23}\times 300$$

Reduce the fraction \frac{100000000000000000000000}{30} to lowest terms by extracting and canceling out 10.

$$\frac{10000000000000000000000}{3}\times 1.38\times 10^{-23}\times 300$$

Multiply \frac{10000000000000000000000}{3} and 1.38 to get 4600000000000000000000.

$$4600000000000000000000\times 10^{-23}\times 300$$

Calculate 10 to the power of -23 and get \frac{1}{100000000000000000000000}.

$$4600000000000000000000\times \frac{1}{100000000000000000000000}\times 300$$

Multiply 4600000000000000000000 and \frac{1}{100000000000000000000000} to get \frac{23}{500}.

$$\frac{23}{500}\times 300$$

Multiply \frac{23}{500} and 300 to get \frac{69}{5}.

$$\frac{69}{5}$$

Factor

$$\frac{3 \cdot 23}{5} = 13\frac{4}{5} = 13.8$$