Solve 3.14{left(7/10right)}^2

$$3.14 { \left( \frac{ 7 }{ 10 } \right) }^{ 2 }$$

Evaluate

$$1.5386$$

Solution Steps

Calculate \frac{7}{10} to the power of 2 and get \frac{49}{100}.

$$3.14\times \frac{49}{100}$$

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.

$$\frac{157}{50}\times \frac{49}{100}$$

Multiply \frac{157}{50} times \frac{49}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 49}{50\times 100}$$

Do the multiplications in the fraction \frac{157\times 49}{50\times 100}.

$$\frac{7693}{5000}$$

Factor

$$\frac{157 \cdot 7 ^ {2}}{2 ^ {3} \cdot 5 ^ {4}} = 1\frac{2693}{5000} = 1.5386$$