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

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

Evaluate

$$\frac{363}{58000\pi ^{2}}\approx 0.000634131$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 19,36\times 10^{-3}}{2,32\times 4\pi ^{2}}$$

Multiply 3 and 19,36 to get 58,08.

$$\frac{58,08\times 10^{-3}}{2,32\times 4\pi ^{2}}$$

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

$$\frac{58,08\times \frac{1}{1000}}{2,32\times 4\pi ^{2}}$$

Multiply 58,08 and \frac{1}{1000} to get \frac{363}{6250}.

$$\frac{\frac{363}{6250}}{2,32\times 4\pi ^{2}}$$

Multiply 2,32 and 4 to get 9,28.

$$\frac{\frac{363}{6250}}{9,28\pi ^{2}}$$

Express \frac{\frac{363}{6250}}{9,28\pi ^{2}} as a single fraction.

$$\frac{363}{6250\times 9,28\pi ^{2}}$$

Multiply 6250 and 9,28 to get 58000.

$$\frac{363}{58000\pi ^{2}}$$