The expression a⁵ᐟ² is equivalent to √a⁵ for all a> 0.
How to identify equivalent expression.
Given the expression a⁵ᐟ²
This expression can be interpreted as taking (a) to the power of 5/2.
Since the exponent is a fraction, it implies a square root followed by raising the result to the power of 5.
So, a⁵ᐟ² = √a⁵.
This matches option (1) √a⁵
The expression a⁵ᐟ² is equivalent to the square root of a⁵.
Therefore, the correct choice is (1) √a⁵