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question simplify to a single power of 6: $6^4 \\cdot 6^3$ answer attem…

Question

question
simplify to a single power of 6:
$6^4 \cdot 6^3$
answer attempt 1 out of 2
answer: $6^{\square}$ submit answer

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying two powers with the same base, we add the exponents: $a^m \cdot a^n = a^{m + n}$. Here, the base $a = 6$, $m = 4$, and $n = 3$.

Step2: Apply the rule

For $6^4 \cdot 6^3$, we add the exponents: $4 + 3 = 7$. So $6^4 \cdot 6^3 = 6^7$.

Answer:

7