Solve 0.996^25/2*3.14

$$\frac{ { 0.996 }^{ 2 } 5 }{ 2 } \times 3.14$$

Evaluate

$$7.7873256$$

Solution Steps

Calculate 0.996 to the power of 2 and get 0.992016.

$$\frac{0.992016\times 5}{2}\times 3.14$$

Multiply 0.992016 and 5 to get 4.96008.

$$\frac{4.96008}{2}\times 3.14$$

Expand \frac{4.96008}{2} by multiplying both numerator and the denominator by 100000.

$$\frac{496008}{200000}\times 3.14$$

Reduce the fraction \frac{496008}{200000} to lowest terms by extracting and canceling out 8.

$$\frac{62001}{25000}\times 3.14$$

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{62001}{25000}\times \frac{157}{50}$$

Multiply \frac{62001}{25000} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{62001\times 157}{25000\times 50}$$

Do the multiplications in the fraction \frac{62001\times 157}{25000\times 50}.

$$\frac{9734157}{1250000}$$

Factor

$$\frac{157 \cdot 3 ^ {2} \cdot 83 ^ {2}}{2 ^ {4} \cdot 5 ^ {7}} = 7\frac{984157}{1250000} = 7.7873256$$