Solve (1/2)^-1-4*(-2)^-2+1-(1/3)^-2

$$( \frac { 1 } { 2 } ) ^ { - 1 } - 4 \times ( - 2 ) ^ { - 2 } + 1 - ( \frac { 1 } { 3 } ) ^ { - 2 }$$

Evaluate

$$-7$$

Solution Steps

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

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

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

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

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

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

Subtract 1 from 2 to get 1.

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

Add 1 and 1 to get 2.

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

Calculate \frac{1}{3} to the power of -2 and get 9.

$$2-9$$

Subtract 9 from 2 to get -7.

$$-7$$

Factor

$$-7$$