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

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

Evaluate

$$-1198$$

Solution Steps

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

$$2+25\left(\left(-2\right)^{2}+\left(-3\right)^{3}-5^{2}\right)$$

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

$$2+25\left(4+\left(-3\right)^{3}-5^{2}\right)$$

Calculate -3 to the power of 3 and get -27.

$$2+25\left(4-27-5^{2}\right)$$

Subtract 27 from 4 to get -23.

$$2+25\left(-23-5^{2}\right)$$

Calculate 5 to the power of 2 and get 25.

$$2+25\left(-23-25\right)$$

Subtract 25 from -23 to get -48.

$$2+25\left(-48\right)$$

Multiply 25 and -48 to get -1200.

$$2-1200$$

Subtract 1200 from 2 to get -1198.

$$-1198$$

Factor

$$-1198$$