Solve 3^3+(-2)^5/(-1)^6+(-2^2)

$$\frac { 3 ^ { 3 } + ( - 2 ) ^ { 5 } } { ( - 1 ) ^ { 6 } + ( - 2 ^ { 2 } ) }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{27+\left(-2\right)^{5}}{\left(-1\right)^{6}-2^{2}}$$

Calculate -2 to the power of 5 and get -32.

$$\frac{27-32}{\left(-1\right)^{6}-2^{2}}$$

Subtract 32 from 27 to get -5.

$$\frac{-5}{\left(-1\right)^{6}-2^{2}}$$

Calculate -1 to the power of 6 and get 1.

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

Calculate 2 to the power of 2 and get 4.

$$\frac{-5}{1-4}$$

Subtract 4 from 1 to get -3.

$$\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$