Solve 1/2(-1/2)/2!5^2

$$\frac { \frac { 1 } { 2 } ( - \frac { 1 } { 2 } ) } { 2 ! } 5 ^ { 2 }$$

Evaluate

$$-\frac{25}{8}=-3.125$$

Solution Steps

Multiply \frac{1}{2} times -\frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\left(-1\right)}{2\times 2}}{2!}\times 5^{2}$$

Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 2}.

$$\frac{\frac{-1}{4}}{2!}\times 5^{2}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$\frac{-\frac{1}{4}}{2!}\times 5^{2}$$

The factorial of 2 is 2.

$$\frac{-\frac{1}{4}}{2}\times 5^{2}$$

Express \frac{-\frac{1}{4}}{2} as a single fraction.

$$\frac{-1}{4\times 2}\times 5^{2}$$

Multiply 4 and 2 to get 8.

$$\frac{-1}{8}\times 5^{2}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$-\frac{1}{8}\times 25$$

Express -\frac{1}{8}\times 25 as a single fraction.

$$\frac{-25}{8}$$

Fraction \frac{-25}{8} can be rewritten as -\frac{25}{8} by extracting the negative sign.

$$-\frac{25}{8}$$

Factor

$$-\frac{25}{8} = -3\frac{1}{8} = -3.125$$