Question

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

Answer 1

SOLUTIONS

Which of these expression shows a pair of equivalent expressions:

Option A is wrong:

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

Option B is correct

Option C is wrong