Solve {(-1)^3-(-1)^5*(-1)^4}+(-1)^7

$$\{ ( - 1 ) ^ { 3 } - ( - 1 ) ^ { 5 } \cdot ( - 1 ) ^ { 4 } \} + ( - 1 ) ^ { 7 }$$

Evaluate

$$-1$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$\left(-1\right)^{3}-\left(-1\right)^{9}+\left(-1\right)^{7}$$

Calculate -1 to the power of 3 and get -1.

$$-1-\left(-1\right)^{9}+\left(-1\right)^{7}$$

Calculate -1 to the power of 9 and get -1.

$$-1-\left(-1\right)+\left(-1\right)^{7}$$

The opposite of -1 is 1.

$$-1+1+\left(-1\right)^{7}$$

Add -1 and 1 to get 0.

$$0+\left(-1\right)^{7}$$

Calculate -1 to the power of 7 and get -1.

$$0-1$$

Subtract 1 from 0 to get -1.

$$-1$$

Factor

$$-1$$