Solve x=[(1/2)^2*(1/3)^3]^4*1/2*(1/3)^-3

$$x = [ ( \frac { 1 } { 2 } ) ^ { 2 } \cdot ( \frac { 1 } { 3 } ) ^ { 3 } ] ^ { 4 } \cdot \frac { 1 } { 2 } \cdot ( \frac { 1 } { 3 } ) ^ { - 3 }$$

Solve for x

$$x=\frac{1}{10077696}\approx 0.000000099$$

Steps for Solving Linear Equation

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

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

Calculate \frac{1}{3} to the power of 3 and get \frac{1}{27}.

$$x=\left(\frac{1}{4}\times \frac{1}{27}\right)^{4}\times \frac{1}{2}\times \left(\frac{1}{3}\right)^{-3}$$

Multiply \frac{1}{4} and \frac{1}{27} to get \frac{1}{108}.

$$x=\left(\frac{1}{108}\right)^{4}\times \frac{1}{2}\times \left(\frac{1}{3}\right)^{-3}$$

Calculate \frac{1}{108} to the power of 4 and get \frac{1}{136048896}.

$$x=\frac{1}{136048896}\times \frac{1}{2}\times \left(\frac{1}{3}\right)^{-3}$$

Multiply \frac{1}{136048896} and \frac{1}{2} to get \frac{1}{272097792}.

$$x=\frac{1}{272097792}\times \left(\frac{1}{3}\right)^{-3}$$

Calculate \frac{1}{3} to the power of -3 and get 27.

$$x=\frac{1}{272097792}\times 27$$

Multiply \frac{1}{272097792} and 27 to get \frac{1}{10077696}.

$$x=\frac{1}{10077696}$$

Assign x

$$x≔\frac{1}{10077696}$$