Question

$${ \left(7/3 \right) }^{ 2 } - { \left(1/3 \right) }^{ 2 } +$$

Answer

$$49/9-(1/3)^2+$$

Solution


Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[\frac{{7}^{2}}{{3}^{2}}-{(\frac{1}{3})}^{2}+\]
Simplify  \({7}^{2}\)  to  \(49\).
\[\frac{49}{{3}^{2}}-{(\frac{1}{3})}^{2}+\]
Simplify  \({3}^{2}\)  to  \(9\).
\[\frac{49}{9}-{(\frac{1}{3})}^{2}+\]