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Apply the rules of exponents​

Apply the rules of exponents​-example-1

1 Answer

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Answer:

The answer is:
$ \frac{\textbf{1}}{\textbf{216}} $

Explanation:

Rule of Exponents:


$ x^a . x^b \hspace{2mm} = \hspace{2mm} x^(a + b) $


$ (x^a)/(x^b) = x^(a).x^(-b) = x^(a - b) $

Here, it is given:


$ (6^2)/(6^5) = 6^(2 - 5) $


$ = 6^(-3) $


$ = (1)/(6^3) $


$ = \frac{\textbf{1}}{\textbf{216}} $

Hence, the answer.

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