Solve {left(6/9right)}^2=7.2/x

$${ \left( \frac{ 6 }{ 9 } \right) }^{ 2 } = \frac{ 7.2 }{ x }$$

Solve for x

$$x=16.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \left(\frac{6}{9}\right)^{2}=7.2$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$x\times \left(\frac{2}{3}\right)^{2}=7.2$$

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

$$x\times \frac{4}{9}=7.2$$

Multiply both sides by \frac{9}{4}, the reciprocal of \frac{4}{9}.

$$x=7.2\times \frac{9}{4}$$

Multiply 7.2 and \frac{9}{4} to get \frac{81}{5}.

$$x=\frac{81}{5}$$