Solve (-2)^2-2^2-|-1/4|*(-10)^2

$$( - 2 ) ^ { 2 } - 2 ^ { 2 } - | - \frac { 1 } { 4 } | \times ( - 10 ) ^ { 2 }$$

Evaluate

$$-25$$

Solution Steps

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

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

Calculate 2 to the power of 2 and get 4.

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

Subtract 4 from 4 to get 0.

$$0-|-\frac{1}{4}|\left(-10\right)^{2}$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -\frac{1}{4} is \frac{1}{4}.

$$0-\frac{1}{4}\left(-10\right)^{2}$$

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

$$0-\frac{1}{4}\times 100$$

Multiply \frac{1}{4} and 100 to get \frac{100}{4}.

$$0-\frac{100}{4}$$

Divide 100 by 4 to get 25.

$$0-25$$

Subtract 25 from 0 to get -25.

$$-25$$

Factor

$$-25$$