Solve 3^3+4^2/-5+(-2)^2=

$$\frac { 3 ^ { 3 } + 4 ^ { 2 } } { - 5 + ( - 2 ) ^ { 2 } } =$$

Evaluate

$$-43$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{27+4^{2}}{-5+\left(-2\right)^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$\frac{27+16}{-5+\left(-2\right)^{2}}$$

Add 27 and 16 to get 43.

$$\frac{43}{-5+\left(-2\right)^{2}}$$

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

$$\frac{43}{-5+4}$$

Add -5 and 4 to get -1.

$$\frac{43}{-1}$$

Fraction \frac{43}{-1} can be rewritten as -43 by extracting the negative sign.

$$-43$$

Factor

$$-43$$