Solve A=(3/5)^-2-(1/2)^-3+(-1/4)^-2

$$A = ( \frac { 3 } { 5 } ) ^ { - 2 } - ( \frac { 1 } { 2 } ) ^ { - 3 } + ( - \frac { 1 } { 4 } ) ^ { - 2 }$$

Solve for A

$$A = \frac{97}{9} = 10\frac{7}{9} \approx 10.777777778$$

Steps for Solving Linear Equation

Calculate \frac{3}{5} to the power of -2 and get \frac{25}{9}.

$$A=\frac{25}{9}-\left(\frac{1}{2}\right)^{-3}+\left(-\frac{1}{4}\right)^{-2}$$

Calculate \frac{1}{2} to the power of -3 and get 8.

$$A=\frac{25}{9}-8+\left(-\frac{1}{4}\right)^{-2}$$

Subtract 8 from \frac{25}{9} to get -\frac{47}{9}.

$$A=-\frac{47}{9}+\left(-\frac{1}{4}\right)^{-2}$$

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

$$A=-\frac{47}{9}+16$$

Add -\frac{47}{9} and 16 to get \frac{97}{9}.

$$A=\frac{97}{9}$$

Assign A

$$A≔\frac{97}{9}$$