Solve (-7+4)^4div3^2-sqrt{25}:(-2)

$$( - 7 + 4 ) ^ { 4 } \div 3 ^ { 2 } - \sqrt { 25 } : ( - 2 )$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Add -7 and 4 to get -3.

$$\frac{\left(-3\right)^{4}}{3^{2}}-\frac{\sqrt{25}}{-2}$$

Calculate -3 to the power of 4 and get 81.

$$\frac{81}{3^{2}}-\frac{\sqrt{25}}{-2}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{81}{9}-\frac{\sqrt{25}}{-2}$$

Divide 81 by 9 to get 9.

$$9-\frac{\sqrt{25}}{-2}$$

Calculate the square root of 25 and get 5.

$$9-\frac{5}{-2}$$

Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$9-\left(-\frac{5}{2}\right)$$

The opposite of -\frac{5}{2} is \frac{5}{2}.

$$9+\frac{5}{2}$$

Add 9 and \frac{5}{2} to get \frac{23}{2}.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$