Which of these choices show a pair of equivalent expressions? a.7^5/7 and (√ 7)^5 b.6^7/2 and (√ 6)^7 c.(4√ 81)^7 and 81^7/4 d.5^2/3 and (√ 5)^3

We will use the following law of indices (or 'index law') to check each pair of expression



With fractional power, the denominator is the root and the numerator is the power of the term. When the denominator is 2, we usually only write the normal square symbol (√). Denominator other than 2, we usually write the value of the root, for example, the cubic root ∛

Option A - Incorrect
should equal to

Option B - Correct
does equal to 

Option C - Incorrect
should equal to 

Option D - Incorrect
should equal to 

The answer to your question is the last one