Solve (-10)^3-sqrt{9}*(-10)^2*(-2)^2

$$( - 10 ) ^ { 3 } - \sqrt { 9 } \cdot ( - 10 ) ^ { 2 } \cdot ( - 2 ) ^ { 2 }$$

Evaluate

$$-2200$$

Solution Steps

Calculate -10 to the power of 3 and get -1000.

$$-1000-\sqrt{9}\left(-10\right)^{2}\left(-2\right)^{2}$$

Calculate the square root of 9 and get 3.

$$-1000-3\left(-10\right)^{2}\left(-2\right)^{2}$$

Calculate -10 to the power of 2 and get 100.

$$-1000-3\times 100\left(-2\right)^{2}$$

Multiply 3 and 100 to get 300.

$$-1000-300\left(-2\right)^{2}$$

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

$$-1000-300\times 4$$

Multiply 300 and 4 to get 1200.

$$-1000-1200$$

Subtract 1200 from -1000 to get -2200.

$$-2200$$

Factor

$$-2200$$