Solve 60*(4/2)^-2-12*(-2/-2)^-2

$$60 \cdot ( \frac { 4 } { 2 } ) ^ { - 2 } - 12 \cdot ( - \frac { 2 } { - 2 } ) ^ { - 2 }$$

Evaluate

$$3$$

Solution Steps

Divide 4 by 2 to get 2.

$$60\times 2^{-2}-12\left(-\frac{2}{-2}\right)^{-2}$$

Calculate 2 to the power of -2 and get \frac{1}{4}.

$$60\times \frac{1}{4}-12\left(-\frac{2}{-2}\right)^{-2}$$

Multiply 60 and \frac{1}{4} to get 15.

$$15-12\left(-\frac{2}{-2}\right)^{-2}$$

Divide 2 by -2 to get -1.

$$15-12\left(-\left(-1\right)\right)^{-2}$$

The opposite of -1 is 1.

$$15-12\times 1^{-2}$$

Calculate 1 to the power of -2 and get 1.

$$15-12\times 1$$

Multiply 12 and 1 to get 12.

$$15-12$$

Subtract 12 from 15 to get 3.

$$3$$

Factor

$$3$$