Solve 3.14left(7div2right)^27

$$3.14 { \left(7 \div 2 \right) }^{ 2 } 7$$

Evaluate

$$269.255$$

Solution Steps

Calculate \frac{7}{2} to the power of 2 and get \frac{49}{4}.

$$3.14\times \frac{49}{4}\times 7$$

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.

$$\frac{157}{50}\times \frac{49}{4}\times 7$$

Multiply \frac{157}{50} times \frac{49}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 49}{50\times 4}\times 7$$

Do the multiplications in the fraction \frac{157\times 49}{50\times 4}.

$$\frac{7693}{200}\times 7$$

Express \frac{7693}{200}\times 7 as a single fraction.

$$\frac{7693\times 7}{200}$$

Multiply 7693 and 7 to get 53851.

$$\frac{53851}{200}$$

Factor

$$\frac{157 \cdot 7 ^ {3}}{2 ^ {3} \cdot 5 ^ {2}} = 269\frac{51}{200} = 269.255$$