Question

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

Answer 1

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