Question

Solve using Law of Exponents

Answer 1

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Answer 2

$1.) \\ \frac{7^{ \frac{1}{5} } }{7 { \frac{1}{3} } } \\ = 7 ^{ \frac{1}{5} - \frac{1}{3} } \\ = 7 ^{ \frac{3 - 5}{15} } \\ =7 ^{ \frac{ - 2}{15} } \\ = \frac{1}{7 ^{ \frac{2}{15} } } \\ \\ \\2.) \\ 13 ^{ \frac{1}{5} } \times 17 ^{ \frac{1}{5} } \\ = (13 \times 17) ^{ \frac{1}{5} } \\ = 221 ^{ \frac{1}{5} } \\ \\ 3.) \\ (\frac{1}{3 ^{3} } ) ^{7} \\ = ( {3}^{ - 3} )^{7} \\ = {3}^{ - 21} \\ = \frac{1}{3 ^{21} }$