Solve [-5(-2)(-2)^3][(-3-5+8+2)(-4)]=

$$[ - 5 ( - 2 ) ( - 2 ) ^ { 3 } ] [ ( - 3 - 5 + 8 + 2 ) ( - 4 ) ] =$$

Evaluate

$$640$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$-5\left(-2\right)^{4}\left(-3-5+8+2\right)\left(-4\right)$$

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

$$-5\times 16\left(-3-5+8+2\right)\left(-4\right)$$

Multiply -5 and 16 to get -80.

$$-80\left(-3-5+8+2\right)\left(-4\right)$$

Subtract 5 from -3 to get -8.

$$-80\left(-8+8+2\right)\left(-4\right)$$

Add -8 and 8 to get 0.

$$-80\times 2\left(-4\right)$$

Multiply -80 and 2 to get -160.

$$-160\left(-4\right)$$

Multiply -160 and -4 to get 640.

$$640$$

Factor

$$2^{7}\times 5$$