Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{b}^{3}=\frac{{6}^{2}{b}^{2}}{6}\]
Multiply both sides by \(6\).
\[6{b}^{3}=36{b}^{2}\]
Move all terms to one side.
\[6{b}^{3}-36{b}^{2}=0\]
Factor out the common term \(6{b}^{2}\).
\[6{b}^{2}(b-6)=0\]
Solve for \(b\).
Ask: When will \(b(b-6)\) equal zero?
When \(b=0\) or \(b-6=0\)
Solve each of the 2 equations above.
\[b=0,6\]
\[b=0,6\]
b=0,6
