Solve frac{(-3)^{2}-(-1)^4*(-12)^0+(-5)^2}{(-3)-(-2)^2+4}

$$\frac { ( - 3 ) ^ { 2 } - ( - 1 ) ^ { 4 } \cdot ( - 12 ) ^ { 0 } + ( - 5 ) ^ { 2 } } { ( - 3 ) - ( - 2 ) ^ { 2 } + 4 }$$

Evaluate

$$-11$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$\frac{9-\left(-1\right)^{4}\left(-12\right)^{0}+\left(-5\right)^{2}}{-3-\left(-2\right)^{2}+4}$$

Calculate -1 to the power of 4 and get 1.

$$\frac{9-1\left(-12\right)^{0}+\left(-5\right)^{2}}{-3-\left(-2\right)^{2}+4}$$

Calculate -12 to the power of 0 and get 1.

$$\frac{9-1\times 1+\left(-5\right)^{2}}{-3-\left(-2\right)^{2}+4}$$

Multiply 1 and 1 to get 1.

$$\frac{9-1+\left(-5\right)^{2}}{-3-\left(-2\right)^{2}+4}$$

Subtract 1 from 9 to get 8.

$$\frac{8+\left(-5\right)^{2}}{-3-\left(-2\right)^{2}+4}$$

Calculate -5 to the power of 2 and get 25.

$$\frac{8+25}{-3-\left(-2\right)^{2}+4}$$

Add 8 and 25 to get 33.

$$\frac{33}{-3-\left(-2\right)^{2}+4}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{33}{-3-4+4}$$

Subtract 4 from -3 to get -7.

$$\frac{33}{-7+4}$$

Add -7 and 4 to get -3.

$$\frac{33}{-3}$$

Divide 33 by -3 to get -11.

$$-11$$

Factor

$$-11$$