Question

Eqyivalent expresion to 3√m^2n^5

Answer 1

The first step to solving this expression is to factor out the perfect cube

`\sqrt[3]{m^(2) n^(3) X n^(2) }`
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:

`\sqrt[3]{ n^(3) }`
`\sqrt[3]{ m^(2) n^(2) }`
Finally,, reduce the index of the radical and exponent with 3
n
`\sqrt[3]{ m^(2) n^(2) }`
This means that the correct answer to your question is n
`\sqrt[3]{ m^(2) n^(2) }` .
Let me know if you have any further questions
:)