Solve -2^4+(2/3)^0+(-1)^2021+(-1/3)^-3-2

$$- 2 ^ { 4 } + ( \frac { 2 } { 3 } ) ^ { 0 } + ( - 1 ) ^ { 2021 } + ( - \frac { 1 } { 3 } ) ^ { - 3 } - 2$$

Evaluate

$$-45$$

Solution Steps

Calculate 2 to the power of 4 and get 16.

$$-16+\left(\frac{2}{3}\right)^{0}+\left(-1\right)^{2021}+\left(-\frac{1}{3}\right)^{-3}-2$$

Calculate \frac{2}{3} to the power of 0 and get 1.

$$-16+1+\left(-1\right)^{2021}+\left(-\frac{1}{3}\right)^{-3}-2$$

Add -16 and 1 to get -15.

$$-15+\left(-1\right)^{2021}+\left(-\frac{1}{3}\right)^{-3}-2$$

Calculate -1 to the power of 2021 and get -1.

$$-15-1+\left(-\frac{1}{3}\right)^{-3}-2$$

Subtract 1 from -15 to get -16.

$$-16+\left(-\frac{1}{3}\right)^{-3}-2$$

Calculate -\frac{1}{3} to the power of -3 and get -27.

$$-16-27-2$$

Subtract 27 from -16 to get -43.

$$-43-2$$

Subtract 2 from -43 to get -45.

$$-45$$

Factor

$$-45$$