Final answer:
To simplify the expression [(x^3)(x^2)]^5, we add the exponents for multiplication and then multiply the exponents when raising to a power which results in x^25.
Step-by-step explanation:
The expression given in the question is [(x^3)(x^2)]^5. To find an equivalent expression, we use the rules of exponents. First, when two exponents with the same base are multiplied, we add the exponents. So, (x^3)(x^2) becomes x^(3+2) or x^5. Then, when we raise an exponent to a power, we multiply the exponents. So (x^5)^5 becomes x^(5*5) which is x^25.