Solve 10^23*6.02*10^-6/130

$${ 10 }^{ 23 } \times 6.02 \times \frac{ { 10 }^{ -6 } }{ 130 }$$

Evaluate

$$\frac{60200000000000000}{13}\approx 4.630769231 \cdot 10^{15}$$

Solution Steps

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$100000000000000000000000\times 6.02\times \frac{10^{-6}}{130}$$

Multiply 100000000000000000000000 and 6.02 to get 602000000000000000000000.

$$602000000000000000000000\times \frac{10^{-6}}{130}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$602000000000000000000000\times \frac{\frac{1}{1000000}}{130}$$

Express \frac{\frac{1}{1000000}}{130} as a single fraction.

$$602000000000000000000000\times \frac{1}{1000000\times 130}$$

Multiply 1000000 and 130 to get 130000000.

$$602000000000000000000000\times \frac{1}{130000000}$$

Multiply 602000000000000000000000 and \frac{1}{130000000} to get \frac{60200000000000000}{13}.

$$\frac{60200000000000000}{13}$$

Factor

$$\frac{7 \cdot 43 \cdot 2 ^ {15} \cdot 5 ^ {14}}{13} = 4630769230769231\frac{10}{13} = 4630769230769231$$