Question

Which of these choices show a pair of equivalent expressions? Check all that

apply.
A. (481)5 and 815/4
B. 67/2 and (VG)
C. 52/3 and (15)3
O D. 75/7 and (77)5

Answer 1

Answer:it’s a and b

Explanation:

did the test

Answer 2

Given:

The pair of expressions in the options.

To find:

The pairs which show a pair of equivalent expressions.

Solution:

Property of exponent:

`(\sqrt[n]{x})^m=x^{(m)/(n)}`

In option A,

`(\sqrt[4]{81})^5=81^{(5)/(4)}`

So, option A is correct.

In option B,

`6^{(7)/(2)}=(\sqrt[2]{6})^7`

`6^{(7)/(2)}=(√(6))^7`

So, option B is correct.

In option C,

`5^{(2)/(3)}=(\sqrt[3]{5})^2`

`5^{(2)/(3)}\\eq (√(5))^3`

So, option C is incorrect.

In option D,

`7^{(5)/(7)}=(\sqrt[7]{7})^5`

`7^{(5)/(7)}\\eq (√(7))^5`

So, option D is incorrect.