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question 6
(6^a 6^b = 6^{ab})
○ true
○ false
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Explanation:

Step1: Recall exponent rule

When multiplying exponents with the same base, we use the rule \(a^m \cdot a^n = a^{m + n}\). Here, the base is 6, so \(6^a \cdot 6^b\) should follow this rule.

Step2: Apply the rule

Applying the rule \(a^m \cdot a^n = a^{m + n}\) to \(6^a \cdot 6^b\), we get \(6^{a + b}\), not \(6^{ab}\). So the statement \(6^a6^b = 6^{ab}\) is false.

Answer:

False