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write the expression as a single power of 6.\\(\frac{6^{9}}{6^{4}}=\\) …

Question

write the expression as a single power of 6.\\(\frac{6^{9}}{6^{4}}=\\) ? \\(6^{3}\\)\\(6^{5}\\)\\(6^{13}\\)\\(6^{36}\\)

Explanation:

Step1: Apply exponent quotient rule

When dividing like bases, subtract exponents: $\frac{a^m}{a^n}=a^{m-n}$
So $\frac{6^9}{6^4}=6^{9-4}$

Step2: Calculate exponent difference

$9-4=5$, so $6^{9-4}=6^5$

Answer:

$6^5$