Solve -10^2div(-4/2)^2*(-2/2)^3

$$- 10 ^ { 2 } \div ( - \frac { 4 } { 2 } ) ^ { 2 } \times ( - \frac { 2 } { 2 } ) ^ { 3 }$$

Evaluate

$$25$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{-10^{2}}{\left(-\frac{4}{2}\right)^{2}}\left(-1\right)^{3}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{-100}{\left(-\frac{4}{2}\right)^{2}}\left(-1\right)^{3}$$

Divide 4 by 2 to get 2.

$$\frac{-100}{\left(-2\right)^{2}}\left(-1\right)^{3}$$

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

$$\frac{-100}{4}\left(-1\right)^{3}$$

Divide -100 by 4 to get -25.

$$-25\left(-1\right)^{3}$$

Calculate -1 to the power of 3 and get -1.

$$-25\left(-1\right)$$

Multiply -25 and -1 to get 25.

$$25$$

Factor

$$5^{2}$$