Solve frac{2*0.01sqrt{2}0.15}{75*1.327310^-419}

$$\frac{ 2 \cdot 0.01 \sqrt{ 2 } 0.15 }{ 75 \cdot 1.3273 { 10 }^{ -4 } 19 }$$

Evaluate

$$\frac{4000\sqrt{2}}{252187}\approx 0.022431189$$

Solution Steps

Multiply 0.01 and 0.15 to get 0.0015.

$$\frac{0.0015\times 2\sqrt{2}}{75\times 1.3273\times 10^{-4}\times 19}$$

Multiply 0.0015 and 2 to get 0.003.

$$\frac{0.003\sqrt{2}}{75\times 1.3273\times 10^{-4}\times 19}$$

Multiply 75 and 1.3273 to get 99.5475.

$$\frac{0.003\sqrt{2}}{99.5475\times 10^{-4}\times 19}$$

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

$$\frac{0.003\sqrt{2}}{99.5475\times \frac{1}{10000}\times 19}$$

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

$$\frac{0.003\sqrt{2}}{\frac{39819}{4000000}\times 19}$$

Multiply \frac{39819}{4000000} and 19 to get \frac{756561}{4000000}.

$$\frac{0.003\sqrt{2}}{\frac{756561}{4000000}}$$

Divide 0.003\sqrt{2} by \frac{756561}{4000000} by multiplying 0.003\sqrt{2} by the reciprocal of \frac{756561}{4000000}.

$$\frac{0.003\sqrt{2}\times 4000000}{756561}$$

Multiply 0.003 and 4000000 to get 12000.

$$\frac{12000\sqrt{2}}{756561}$$

Divide 12000\sqrt{2} by 756561 to get \frac{4000}{252187}\sqrt{2}.

$$\frac{4000}{252187}\sqrt{2}$$