Question

Which of these choices show a pair of equivalent expression? check all the aplly?

Answer 1

a pair of equivalent expression can be seen in option A and B

Step-by-step explanation:
`\begin{gathered} a)\text{ (}\sqrt[4]{81})^7=81^{(7)/(4)} \\ \text{Hnece, (}\sqrt[4]{81})^7\text{ and }81^{(7)/(4)}\text{ are equal} \end{gathered}`
`\begin{gathered} b)6^{(7)/(2)}\text{ can be written as (}\sqrt[]{6})^7 \\ \sin ce\text{ }6^{(7)/(2)}\text{ and (}\sqrt[]{6})^7\text{ are the same, they are equal} \end{gathered}`
`\begin{gathered} c)5^{(2)/(3)}is\text{ written as }\sqrt[3]{^{}\mleft(5\mright?^{}})^2 \\ 5^{(2)/(3)}\text{ is not the same as }(\sqrt[]{5^{}})^3 \end{gathered}`
`\begin{gathered} d)7^{(5)/(7)}\text{ can be written as }\sqrt[7]{(7)^5} \\ \sqrt[7]{(7)^5}\text{ is not the same as (}\sqrt[]{7)^5} \\ \text{hence, }7^{(5)/(7)}\text{ is not the same as (}\sqrt[]{7)^5} \end{gathered}`

The options that are equal are equivalent.

Hence, a pair of equivalent expression can be seen in option A and B