Solve A=(2/3)^-2-(1/2)^-1+(-1/4)^2

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

Solve for A

$$A=\frac{5}{16}=0.3125$$

Steps for Solving Linear Equation

Calculate \frac{2}{3} to the power of -2 and get \frac{9}{4}.

$$A=\frac{9}{4}-\left(\frac{1}{2}\right)^{-1}+\left(-\frac{1}{4}\right)^{2}$$

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

$$A=\frac{9}{4}-2+\left(-\frac{1}{4}\right)^{2}$$

Subtract 2 from \frac{9}{4} to get \frac{1}{4}.

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

Calculate -\frac{1}{4} to the power of 2 and get \frac{1}{16}.

$$A=\frac{1}{4}+\frac{1}{16}$$

Add \frac{1}{4} and \frac{1}{16} to get \frac{5}{16}.

$$A=\frac{5}{16}$$

Assign A

$$A≔\frac{5}{16}$$