Question

$$( { \times }^{ 2 } - { 6 }^{ 3 } )=$$

Answer

$$^4-216$$

Solution


Remove parentheses.
\[{}^{2}-{6}^{3}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{}^{2}{}^{2}-{6}^{3}\]
Simplify  \({6}^{3}\)  to  \(216\).
\[{}^{2}{}^{2}-216\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{4}-216\]