Solve frac{2*0.01sqrt{2}0.2}{75*1.327310^-415.5}

$$\frac{ 2 \cdot 0.01 \sqrt{ 2 } 0.2 }{ 75 \cdot 1.3273 { 10 }^{ -4 } 15.5 }$$

Evaluate

$$\frac{32000\sqrt{2}}{1234389}\approx 0.036661728$$

Solution Steps

Multiply 0.01 and 0.2 to get 0.002.

$$\frac{0.002\times 2\sqrt{2}}{75\times 1.3273\times 10^{-4}\times 15.5}$$

Multiply 0.002 and 2 to get 0.004.

$$\frac{0.004\sqrt{2}}{75\times 1.3273\times 10^{-4}\times 15.5}$$

Multiply 75 and 1.3273 to get 99.5475.

$$\frac{0.004\sqrt{2}}{99.5475\times 10^{-4}\times 15.5}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{0.004\sqrt{2}}{99.5475\times \frac{1}{10000}\times 15.5}$$

Multiply 99.5475 and \frac{1}{10000} to get \frac{39819}{4000000}.

$$\frac{0.004\sqrt{2}}{\frac{39819}{4000000}\times 15.5}$$

Multiply \frac{39819}{4000000} and 15.5 to get \frac{1234389}{8000000}.

$$\frac{0.004\sqrt{2}}{\frac{1234389}{8000000}}$$

Divide 0.004\sqrt{2} by \frac{1234389}{8000000} by multiplying 0.004\sqrt{2} by the reciprocal of \frac{1234389}{8000000}.

$$\frac{0.004\sqrt{2}\times 8000000}{1234389}$$

Multiply 0.004 and 8000000 to get 32000.

$$\frac{32000\sqrt{2}}{1234389}$$