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If 36 = 6 × 6 = 62, then 136 expressed as a power with the base 6 is ______. - Mathematics

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Question

If 36 = 6 × 6 = 62, then `1/36` expressed as a power with the base 6 is ______.

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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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Chapter 8: Exponents and Powers - Exercise [Page 254]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 50. | Page 254
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