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Simplify x^3 · y^2 · (x^2 · y^3 · z^m/z^-5) = x^5y^5z.

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Final answer:

To simplify the expression, combine the like terms and apply the rules of exponents.

Step-by-step explanation:

To simplify the expression, we can use the properties of exponents. First, we can combine the variables x and y by adding their exponents. We have x^3 * x^2 = x^(3+2) = x^5, and y^2 * y^3 = y^(2+3) = y^5. Next, we can simplify the term z^m / z^-5 by subtracting the exponents: z^m / z^-5 = z^(m-(-5)) = z^(m+5).

Combining all these simplifications together, we have x^3 * y^2 * (x^2 * y^3 * z^m / z^-5) = x^5 * y^5 * z^(m+5). This is the simplified form of the expression.

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