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Question
If 36 = 6 × 6 = 62, then `1/36` expressed as a power with the base 6 is ______.
Fill in the Blanks
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Solution
If 36 = 6 × 6 = 62, then `1/36` expressed as a power with the base 6 is 6–2.
Explanation:
Given, 36 = 6 × 6 = 62
So, `1/36 = 1/(6 xx 6)`
= `1/(6)^2` ...`[∵ a^-m = 1/a^m]`
= (6)–2
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