Solve 314left(7div2right)^27

$$314 { \left(7 \div 2 \right) }^{ 2 } 7$$

Evaluate

$$\frac{53851}{2}=26925.5$$

Solution Steps

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

$$314\times \frac{49}{4}\times 7$$

Express 314\times \frac{49}{4} as a single fraction.

$$\frac{314\times 49}{4}\times 7$$

Multiply 314 and 49 to get 15386.

$$\frac{15386}{4}\times 7$$

Reduce the fraction \frac{15386}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7693}{2}\times 7$$

Express \frac{7693}{2}\times 7 as a single fraction.

$$\frac{7693\times 7}{2}$$

Multiply 7693 and 7 to get 53851.

$$\frac{53851}{2}$$

Factor

$$\frac{7 ^ {3} \cdot 157}{2} = 26925\frac{1}{2} = 26925.5$$