Solve 3*2*19*36*10^-3/8pi^22*32

$$\frac{ 3 \cdot 2 \cdot 19 \cdot 36 \times { 10 }^{ -3 } }{ 8 { \pi }^{ 2 } 2 \cdot 32 }$$

Evaluate

$$\frac{513}{64000\pi ^{2}}\approx 0.000812153$$

Solution Steps

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{3\times 9\times 19\times 10^{-3}}{2\times 32\pi ^{2}}$$

Multiply 3 and 9 to get 27.

$$\frac{27\times 19\times 10^{-3}}{2\times 32\pi ^{2}}$$

Multiply 27 and 19 to get 513.

$$\frac{513\times 10^{-3}}{2\times 32\pi ^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{513\times \frac{1}{1000}}{2\times 32\pi ^{2}}$$

Multiply 513 and \frac{1}{1000} to get \frac{513}{1000}.

$$\frac{\frac{513}{1000}}{2\times 32\pi ^{2}}$$

Multiply 2 and 32 to get 64.

$$\frac{\frac{513}{1000}}{64\pi ^{2}}$$

Express \frac{\frac{513}{1000}}{64\pi ^{2}} as a single fraction.

$$\frac{513}{1000\times 64\pi ^{2}}$$

Multiply 1000 and 64 to get 64000.

$$\frac{513}{64000\pi ^{2}}$$