Question
Simplify:$7^\frac{5}{6}\times7^\frac{2}{3}$

Answer

$\Bigg(7^{\frac{5}{6}}\times7^{\frac{2}{3}}\Bigg)=7^{\big(\frac{5}{6}+\frac{2}{3}\big)}=7^{\big(\frac{5+4}{6}\big)}$$=7^{\frac{9}{6}}=7^{\frac{3}{2}}$

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