Question

$$\frac{ { \times }^{ 4 } }{ { \times }^{ 2 } }$$

Answer

$$^10$$

Solution


Remove parentheses.
\[\times \frac{{}^{4}}{{}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{{}^{4}{}^{4}}{{}^{2}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{{}^{8}}{{}^{2}}\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[{}^{8}{}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{}^{10}\]