Solve 1.8*10^-2/frac{24pi{3}*10^-27}

$$\frac { 1.8 \times 10 ^ { - 2 } } { \frac { 24 \pi } { 3 } \times 10 ^ { - 27 } }$$

Evaluate

$$\frac{2250000000000000000000000}{\pi }\approx 7.161972439 \cdot 10^{23}$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{1.8\times \frac{1}{100}}{\frac{24\pi }{3}\times 10^{-27}}$$

Multiply 1.8 and \frac{1}{100} to get \frac{9}{500}.

$$\frac{\frac{9}{500}}{\frac{24\pi }{3}\times 10^{-27}}$$

Divide 24\pi by 3 to get 8\pi .

$$\frac{\frac{9}{500}}{8\pi \times 10^{-27}}$$

Calculate 10 to the power of -27 and get \frac{1}{1000000000000000000000000000}.

$$\frac{\frac{9}{500}}{8\pi \times \frac{1}{1000000000000000000000000000}}$$

Multiply 8 and \frac{1}{1000000000000000000000000000} to get \frac{1}{125000000000000000000000000}.

$$\frac{\frac{9}{500}}{\frac{1}{125000000000000000000000000}\pi }$$

Express \frac{\frac{9}{500}}{\frac{1}{125000000000000000000000000}\pi } as a single fraction.

$$\frac{9}{500\times \frac{1}{125000000000000000000000000}\pi }$$

Multiply 500 and \frac{1}{125000000000000000000000000} to get \frac{1}{250000000000000000000000}.

$$\frac{9}{\frac{1}{250000000000000000000000}\pi }$$