Simplify : 7^ 1 5 7^ 1 3 - Vidyadip

Question

Simplify : $\frac{7^{\frac{1}{5}}}{7^{\frac{1}{3}}}$

✓

Answer

We have,

$\frac{7^{\frac{1}{5}}}{7^{\frac{1}{3}}}=7^{\left(\frac{1}{5}-\frac{1}{3}\right)}=7^{\frac{3-5}{15}}=7^{\frac{-2}{15}}$

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