which of these choices show a pair of equivalent expressions? Check all that apply. A. 5^2/3 and (sq rt. 5)^3 B. (4 sq rt. 81)^7 C. 7^ 5/7 and (sq rt. 7)^5 D. 6 ^7/2 and (sq rt. 6)^7

which of these choices show a pair of equivalent expressions Check all that apply A 523 and sq rt 53 B 4 sq rt 817 C 7 57 and sq rt 75 D 6 72 and sq rt 67 class=

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SOLUTIONS

Which of these expression shows a pair of equivalent expressions:

Option A is wrong:

[tex]\begin{gathered} 5^{\frac{2}{3}}=(\sqrt{5})^3 \\ \sqrt[3]{\sqrt{5})^2}=(\sqrt{5})^3 \end{gathered}[/tex][tex]\begin{gathered} \sqrt[4]{81)^7}=81^{\frac{7}{4}} \\ \sqrt[4]{81^7}=\sqrt[4]{81^7} \end{gathered}[/tex]

Option B is correct

Option C is wrong

[tex][/tex]