Solve 6.262*10^-20^*6.023*10^23*5

$$6.262 \times { 10 }^{ { -20 }^{ } } \times 6.023 \times { 10 }^{ 23 } \times 5$$

Evaluate

$$188580.13$$

Solution Steps

Calculate -20 to the power of 1 and get -20.

$$6.262\times 10^{-20}\times 6.023\times 10^{23}\times 5$$

Calculate 10 to the power of -20 and get \frac{1}{100000000000000000000}.

$$6.262\times \frac{1}{100000000000000000000}\times 6.023\times 10^{23}\times 5$$

Multiply 6.262 and \frac{1}{100000000000000000000} to get \frac{3131}{50000000000000000000000}.

$$\frac{3131}{50000000000000000000000}\times 6.023\times 10^{23}\times 5$$

Multiply \frac{3131}{50000000000000000000000} and 6.023 to get \frac{18858013}{50000000000000000000000000}.

$$\frac{18858013}{50000000000000000000000000}\times 10^{23}\times 5$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$\frac{18858013}{50000000000000000000000000}\times 100000000000000000000000\times 5$$

Multiply \frac{18858013}{50000000000000000000000000} and 100000000000000000000000 to get \frac{18858013}{500}.

$$\frac{18858013}{500}\times 5$$

Multiply \frac{18858013}{500} and 5 to get \frac{18858013}{100}.

$$\frac{18858013}{100}$$

Factor

$$\frac{19 \cdot 31 \cdot 101 \cdot 317}{2 ^ {2} \cdot 5 ^ {2}} = 188580\frac{13}{100} = 188580.13$$