Question

Rewrite the expression ( 5²/3 ) with rational exponents as a radical expression by extending the properties of integer exponents.

(A) ( √[3]5² )
(B) ( √[5]5³ )
(C) ( √5³ )
(D) ( √[2]5³ )

Answer 1

To rewrite the expression (5²/3) with rational exponents as a radical expression, the correct answer is option (A) √[3]5².

Step-by-step explanation:

To rewrite the expression (5²/3) with rational exponents as a radical expression, we need to extend the properties of integer exponents. The base of the radical expression will be the number inside the root, and the index of the radical will be the denominator of the fractional exponent. In this case, the expression (5²/3) can be written as √[3]5², therefore the correct answer is option (A).