Solve 2*(-3)^2+(-45):(-3)^2-(-2)*(-1)^7

$$2 \cdot ( - 3 ) ^ { 2 } + ( - 45 ) : ( - 3 ) ^ { 2 } - ( - 2 ) \cdot ( - 1 ) ^ { 7 }$$

Evaluate

$$11$$

Solution Steps

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

$$2\times 9+\frac{-45}{\left(-3\right)^{2}}-\left(-2\left(-1\right)^{7}\right)$$

Multiply 2 and 9 to get 18.

$$18+\frac{-45}{\left(-3\right)^{2}}-\left(-2\left(-1\right)^{7}\right)$$

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

$$18+\frac{-45}{9}-\left(-2\left(-1\right)^{7}\right)$$

Divide -45 by 9 to get -5.

$$18-5-\left(-2\left(-1\right)^{7}\right)$$

Subtract 5 from 18 to get 13.

$$13-\left(-2\left(-1\right)^{7}\right)$$

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

$$13-\left(-2\left(-1\right)\right)$$

Multiply -2 and -1 to get 2.

$$13-2$$

Subtract 2 from 13 to get 11.

$$11$$

Factor

$$11$$