Solve (-25)^3+(-5^2)^2/50^2

$$\frac { ( - 25 ) ^ { 3 } + ( - 5 ^ { 2 } ) ^ { 2 } } { 50 ^ { 2 } }$$

Evaluate

$$-6$$

Solution Steps

Calculate -25 to the power of 3 and get -15625.

$$\frac{-15625+\left(-5^{2}\right)^{2}}{50^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-15625+\left(-25\right)^{2}}{50^{2}}$$

Calculate -25 to the power of 2 and get 625.

$$\frac{-15625+625}{50^{2}}$$

Add -15625 and 625 to get -15000.

$$\frac{-15000}{50^{2}}$$

Calculate 50 to the power of 2 and get 2500.

$$\frac{-15000}{2500}$$

Divide -15000 by 2500 to get -6.

$$-6$$

Factor

$$-6$$