Compute 3^2 * 3^7.

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Multiple Choice

Compute 3^2 * 3^7.

Explanation:
When you multiply powers with the same base, you add the exponents. So 3^2 * 3^7 equals 3^(2+7) = 3^9. You can check by calculation: 3^2 = 9 and 3^7 = 2187, and 9 * 2187 = 19683, which is 3^9. The other options come from misapplying the exponent rule, such as adding a different amount or subtracting, which isn’t what happens when multiplying powers with the same base.

When you multiply powers with the same base, you add the exponents. So 3^2 * 3^7 equals 3^(2+7) = 3^9. You can check by calculation: 3^2 = 9 and 3^7 = 2187, and 9 * 2187 = 19683, which is 3^9. The other options come from misapplying the exponent rule, such as adding a different amount or subtracting, which isn’t what happens when multiplying powers with the same base.

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