Solve {l}{-[(-4)^2+(-2^9):(-2)^3]*(-1)+3}}{-12:3-(-2)^3*(4-5)+10:(7-9)}

$$\left. \begin{array} { l } { - [ ( - 4 ) ^ { 2 } + ( - 2 ^ { 9 } ) : ( - 2 ) ^ { 3 } ] \cdot ( - 1 ) + 3 \} } \\ { - 12 : 3 - ( - 2 ) ^ { 3 } \cdot ( 4 - 5 ) + 10 : ( 7 - 9 ) } \end{array} \right.$$

Evaluate

$$83$$

Solution Steps

Calculate -4 to the power of 2 and get 16.

$$\left(-\left(16+\frac{-2^{9}}{\left(-2\right)^{3}}\right)\right)\left(-1\right)+3$$

Calculate 2 to the power of 9 and get 512.

$$\left(-\left(16+\frac{-512}{\left(-2\right)^{3}}\right)\right)\left(-1\right)+3$$

Calculate -2 to the power of 3 and get -8.

$$\left(-\left(16+\frac{-512}{-8}\right)\right)\left(-1\right)+3$$

Divide -512 by -8 to get 64.

$$\left(-\left(16+64\right)\right)\left(-1\right)+3$$

Add 16 and 64 to get 80.

$$-80\left(-1\right)+3$$

Multiply -80 and -1 to get 80.

$$80+3$$

Add 80 and 3 to get 83.

$$83$$

Factor

$$83$$