which of the following is equivalent to ^3sqrt(5ab^2) * ^3sqrt(25ab)

Answer:
The second option is correct
Explanation:
Recall,
[tex]\sqrt[a]{b}\text{ = b}^{\frac{1}{a}}[/tex]Thus, the given expression can be written as
5^(1/3) a^(1/3)b^(2/3) * 5^(2/3)a^(1/3)b^(1/3)
We would apply the rule of exponents which is expressed as
a^b * a^c = a^(b + c)
The expression becomes
5^(1/3) * 5^(2/3) * a^(1/3) * a^1/3 * b^(2/3) * b^(1/3)
= 5^(1/3 + 3/3) * a^(1/3 + 1/3) * b^(2/3 + 1/3)
= 5^(1) * a^(2/3) * b^(1)
= 5 * a^(2/3) * b^(1)
It becomes
[tex]5b\sqrt[3]{a^2}[/tex]The second option is correct