Question

(2 1/3)^7*(3/7)^8 =

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Answer 1

$\displaystyle\bf\\\Big(2\frac{1}{3} \Big)^{7} \cdot\Big(\frac{3}{7} \Big)^{8} =\Big(\frac{7}{3} \Big)^{7} \cdot\Big(\frac{3}{7} \Big)^{8} =\Big(\frac{3}{7} \Big)^{-7} \cdot\Big(\frac{3}{7} \Big)^{8} =\\\\\\=\Big(\frac{3}{7} \Big)^{-7+8} =\frac{3}{7}$