Solve 6.67*10^-1125000/200frac{sqrt{2}}{2}

$$6.67 \times { 10 }^{ -11 } \frac{ 25000 }{ 200 } \frac{ \sqrt{ 2 } }{ 2 }$$

Evaluate

$$\frac{667\sqrt{2}}{160000000000}\approx 5.895502788 \cdot 10^{-9}$$

Solution Steps

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$6.67\times \frac{1}{100000000000}\times \frac{25000}{200}\times \frac{\sqrt{2}}{2}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{667}{10000000000000}\times \frac{25000}{200}\times \frac{\sqrt{2}}{2}$$

Divide 25000 by 200 to get 125.

$$\frac{667}{10000000000000}\times 125\times \frac{\sqrt{2}}{2}$$

Multiply \frac{667}{10000000000000} and 125 to get \frac{667}{80000000000}.

$$\frac{667}{80000000000}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{667}{80000000000} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{667\sqrt{2}}{80000000000\times 2}$$

Multiply 80000000000 and 2 to get 160000000000.

$$\frac{667\sqrt{2}}{160000000000}$$