Solve 3(-2)^5-8(-2)^4+7(-2)^3-2(-2)^2

$$3 ( - 2 ) ^ { 5 } - 8 ( - 2 ) ^ { 4 } + 7 ( - 2 ) ^ { 3 } - 2 ( - 2 ) ^ { 2 }$$

Evaluate

$$-288$$

Solution Steps

Calculate -2 to the power of 5 and get -32.

$$3\left(-32\right)-8\left(-2\right)^{4}+7\left(-2\right)^{3}-2\left(-2\right)^{2}$$

Multiply 3 and -32 to get -96.

$$-96-8\left(-2\right)^{4}+7\left(-2\right)^{3}-2\left(-2\right)^{2}$$

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

$$-96-8\times 16+7\left(-2\right)^{3}-2\left(-2\right)^{2}$$

Multiply 8 and 16 to get 128.

$$-96-128+7\left(-2\right)^{3}-2\left(-2\right)^{2}$$

Subtract 128 from -96 to get -224.

$$-224+7\left(-2\right)^{3}-2\left(-2\right)^{2}$$

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

$$-224+7\left(-8\right)-2\left(-2\right)^{2}$$

Multiply 7 and -8 to get -56.

$$-224-56-2\left(-2\right)^{2}$$

Subtract 56 from -224 to get -280.

$$-280-2\left(-2\right)^{2}$$

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

$$-280-2\times 4$$

Multiply 2 and 4 to get 8.

$$-280-8$$

Subtract 8 from -280 to get -288.

$$-288$$

Factor

$$-288$$