You can't solve it as it isn't an equation. All you can do is simplify it.
so I think you have:
25^(1/3) * (x²y)^(1/2)
25 has no cube factors, so that can't simplify.
As for the variables, the exponent outside the parenthesis means that the exponent needs to be applied to all factors inside the parenthesis.
Then in the case you have an exponent of an exponent, the result is the same as if you multiply the exponents. So in the case of the "x", your exponents are 2 and 1/2, which multiplies to 1.
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You can't solve it as it isn't an equation. All you can do is simplify it.
so I think you have:
25^(1/3) * (x²y)^(1/2)
25 has no cube factors, so that can't simplify.
As for the variables, the exponent outside the parenthesis means that the exponent needs to be applied to all factors inside the parenthesis.
Then in the case you have an exponent of an exponent, the result is the same as if you multiply the exponents. So in the case of the "x", your exponents are 2 and 1/2, which multiplies to 1.
So the simplified form is:
25^(1/3) xy^(1/2)
or putting it into radical notation:
∛(25) * x√y