Simplify (3^2)^5.

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Multiple Choice

Simplify (3^2)^5.

Explanation:
When you raise a power to another power, you multiply the exponents. So (3^2)^5 means you keep the base 3 and combine the exponents: 2 × 5 = 10, giving 3^10. This is the simplified form because you can’t reduce the exponent further without evaluating the power. The other options would come from adding exponents or misapplying the rule, but the correct idea is to multiply the exponents when you nest powers. The result is 3^10.

When you raise a power to another power, you multiply the exponents. So (3^2)^5 means you keep the base 3 and combine the exponents: 2 × 5 = 10, giving 3^10. This is the simplified form because you can’t reduce the exponent further without evaluating the power. The other options would come from adding exponents or misapplying the rule, but the correct idea is to multiply the exponents when you nest powers. The result is 3^10.

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