Solve --5^3+9*-5^2-24*-5-20

$$- { -5 }^{ 3 } +9 \times { -5 }^{ 2 } -24 \cdot -5-20$$

Evaluate

$$450$$

Solution Steps

Calculate -5 to the power of 3 and get -125.

$$-\left(-125\right)+9\left(-5\right)^{2}-24\left(-5\right)-20$$

The opposite of -125 is 125.

$$125+9\left(-5\right)^{2}-24\left(-5\right)-20$$

Calculate -5 to the power of 2 and get 25.

$$125+9\times 25-24\left(-5\right)-20$$

Multiply 9 and 25 to get 225.

$$125+225-24\left(-5\right)-20$$

Add 125 and 225 to get 350.

$$350-24\left(-5\right)-20$$

Multiply 24 and -5 to get -120.

$$350-\left(-120\right)-20$$

The opposite of -120 is 120.

$$350+120-20$$

Add 350 and 120 to get 470.

$$470-20$$

Subtract 20 from 470 to get 450.

$$450$$

Factor

$$2\times 3^{2}\times 5^{2}$$