Mathematics, 12.07.2019 23:30, tk1264
Simplify cube root of 7 over fifth root of 7. 7 to the power of 1 over 5 7 to the power of 8 over 15 7 to the power of 5 over 3 7 to the power of 2 over 15
Answers: 1
![\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ \cfrac{\sqrt[3]{7}}{\sqrt[5]{7}}\implies \cfrac{\sqrt[3]{7^1}}{\sqrt[5]{7^1}}\implies \cfrac{7^{\frac{1}{3}}}{7^{\frac{1}{5}}}\implies 7^{\frac{1}{3}}\cdot 7^{-\frac{1}{5}}\implies 7^{\frac{1}{3}-\frac{1}{5}} \\\\\\ 7^{\frac{5-3}{15}}\implies 7^{\frac{2}{15}}](/tpl/images/0082/7119/08a8f.png)
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Simplify cube root of 7 over fifth root of 7. 7 to the power of 1 over 5 7 to the power of 8 over 15...
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