Solve =(1/2)^4quad(Q)(-1/4)^2=16^-1

$$= ( \frac { 1 } { 2 } ) ^ { 4 } \quad ( Q ) ( \frac { - 1 } { 4 } ) ^ { 2 } = 16 ^ { - 1 }$$

Solve for Q

$$Q=16$$

Steps for Solving Linear Equation

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

$$\frac{1}{16}Q\times \left(\frac{-1}{4}\right)^{2}=16^{-1}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$\frac{1}{16}Q\left(-\frac{1}{4}\right)^{2}=16^{-1}$$

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

$$\frac{1}{16}Q\times \frac{1}{16}=16^{-1}$$

Multiply \frac{1}{16} and \frac{1}{16} to get \frac{1}{256}.

$$\frac{1}{256}Q=16^{-1}$$

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

$$\frac{1}{256}Q=\frac{1}{16}$$

Multiply both sides by 256, the reciprocal of \frac{1}{256}.

$$Q=\frac{1}{16}\times 256$$

Multiply \frac{1}{16} and 256 to get 16.

$$Q=16$$