Solve 2(7)+1/2(3)(7)^2

$$2 ( 7 ) + 1 / 2 ( 3 ) ( 7 ) ^ { 2 }$$

Evaluate

$$\frac{175}{2}=87.5$$

Solution Steps

Multiply 2 and 7 to get 14.

$$14+\frac{1}{2}\times 3\times 7^{2}$$

Multiply \frac{1}{2} and 3 to get \frac{3}{2}.

$$14+\frac{3}{2}\times 7^{2}$$

Calculate 7 to the power of 2 and get 49.

$$14+\frac{3}{2}\times 49$$

Express \frac{3}{2}\times 49 as a single fraction.

$$14+\frac{3\times 49}{2}$$

Multiply 3 and 49 to get 147.

$$14+\frac{147}{2}$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{28}{2}+\frac{147}{2}$$

Since \frac{28}{2} and \frac{147}{2} have the same denominator, add them by adding their numerators.

$$\frac{28+147}{2}$$

Add 28 and 147 to get 175.

$$\frac{175}{2}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2} = 87\frac{1}{2} = 87.5$$