Respuesta :

Answer:

The answer to this problem is,

Step-by-step explanation:

1.

2.

3.

Answer:

Step-by-step explanation:

243 can be expressed as 3^3 x 3^2

we have to study two different cases:

if xy > 0

the result of the root is negative so we can put the minus out of the square:

[tex]- \sqrt[3]{3^3 * 3^2x^9y^3}[/tex]

now we can proceed like this:

we have to calculate the root of each value:

∛3^3 = the index and the exponent are the so we can simplify them and become 3

∛3^2 = it can’t be simplified. It became ∛9

∛x^9 = we can divide both the index and the exponents by 3. The final relaut is x^3

∛y^3 = we can simply the index and the exponents like we have do with ∛3^3

it became y

at least we have to put in an expression this results (all of them are multipliied, as we can see in the original expression)

[tex]-3x^3y\sqrt[3]{9}[/tex]

If xy < 0

the result is positive but what we have to do is the same of before.

[tex]-3x^3y\sqrt[3]{9}[/tex]