Mathematics, 15.07.2019 06:00 zaanebali
Which of these choices show a pair of equivalent expressions? check all that apply. ![(\sqrt[4]{81}) ^{5} = 81^{ \frac{5}{4} } 7^{ \frac{5}{7} } = ( \sqrt{7} )^{5} 6^{ \frac{2}{7} } = ( \sqrt{6})^{7} 5^{ \frac{3}{2} } = ( \sqrt{5} )^{3}](/tex.php?f=(\sqrt[4]{81}) ^{5} = 81^{ \frac{5}{4} } 7^{ \frac{5}{7} } = ( \sqrt{7} )^{5} 6^{ \frac{2}{7} } = ( \sqrt{6})^{7} 5^{ \frac{3}{2} } = ( \sqrt{5} )^{3} )
Answers: 2
![\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} \qquad \qquad \sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\ -------------------------------](/tpl/images/0091/4381/17c78.png)
![\bf \left( \sqrt[4]{81} \right)^5\implies \sqrt[4]{81^5}\implies 81^{\frac{5}{4}}\quad \checkmark \\\\\\ 7^{\frac{5}{7}}\implies \sqrt[7]{7^5}\implies \left( \sqrt[7]{7} \right)^5\quad \otimes \\\\\\ 6^{\frac{2}{7}}\implies \sqrt[7]{6^2}\implies \left( \sqrt[7]{6} \right)^2\quad \otimes \\\\\\ 5^{\frac{3}{2}}\implies \sqrt[2]{5^3}\implies \left( \sqrt{5} \right)^3\quad \checkmark](/tpl/images/0091/4381/70553.png)
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Which of these choices show a pair of equivalent expressions? check all that apply. [tex](\sqrt[4]{...
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