Solve 15/0.732*0.2*pi*0.6^4

$$\frac { 15 } { 0.732 } \times 0.2 \times \pi \times 0.6 ^ { 4 }$$

Evaluate

$$\frac{162\pi }{305}\approx 1.668649213$$

Solution Steps

Expand \frac{15}{0.732} by multiplying both numerator and the denominator by 1000.

$$\frac{15000}{732}\times 0.2\pi \times 0.6^{4}$$

Reduce the fraction \frac{15000}{732} to lowest terms by extracting and canceling out 12.

$$\frac{1250}{61}\times 0.2\pi \times 0.6^{4}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1250}{61}\times \frac{1}{5}\pi \times 0.6^{4}$$

Multiply \frac{1250}{61} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1250\times 1}{61\times 5}\pi \times 0.6^{4}$$

Do the multiplications in the fraction \frac{1250\times 1}{61\times 5}.

$$\frac{1250}{305}\pi \times 0.6^{4}$$

Reduce the fraction \frac{1250}{305} to lowest terms by extracting and canceling out 5.

$$\frac{250}{61}\pi \times 0.6^{4}$$

Calculate 0.6 to the power of 4 and get 0.1296.

$$\frac{250}{61}\pi \times 0.1296$$

Convert decimal number 0.1296 to fraction \frac{1296}{10000}. Reduce the fraction \frac{1296}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{250}{61}\pi \times \frac{81}{625}$$

Multiply \frac{250}{61} times \frac{81}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{250\times 81}{61\times 625}\pi$$

Do the multiplications in the fraction \frac{250\times 81}{61\times 625}.

$$\frac{20250}{38125}\pi$$

Reduce the fraction \frac{20250}{38125} to lowest terms by extracting and canceling out 125.

$$\frac{162}{305}\pi$$