Final answer:
The expression (g^3g^2)^5 simplifies to g^25, applying the rule that multiplying exponents with the same base means adding the exponents, and raising an exponent to a power means multiplying the exponents.
Step-by-step explanation:
To simplify the expression (g^3g^2)^5, you first need to apply the rules of exponents. When two exponents with the same base are multiplied, you add the exponents. Hence, g^3 × g^2 becomes g^(3+2), which simplifies to g^5. Now you have (g^5)^5. When you raise an exponent to another power, you multiply the exponents, so this becomes g^(5×5), which simplifies to g^25. Therefore, the expression (g^3g^2)^5 simplifies to g^25, using only positive exponents.