Compute 6^5 * 6^-2.

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Multiple Choice

Compute 6^5 * 6^-2.

Explanation:
When multiplying powers with the same base, add the exponents. So 6^5 times 6^-2 becomes 6^(5 + (-2)) = 6^3. That follows the rule a^m * a^n = a^(m+n), and a negative exponent is handled by adding it to the other exponent. If you want the numeric value, 6^3 equals 216 (since 6^2 = 36, and 36 times 6 equals 216).

When multiplying powers with the same base, add the exponents. So 6^5 times 6^-2 becomes 6^(5 + (-2)) = 6^3. That follows the rule a^m * a^n = a^(m+n), and a negative exponent is handled by adding it to the other exponent. If you want the numeric value, 6^3 equals 216 (since 6^2 = 36, and 36 times 6 equals 216).

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