Question

Use fractions to explain why 6^2 6^-2 = 1

Answer 1

see explanation

Explanation:

using the rule of exponents

`a^(-m)` =
`(1)/(a^(m) )` , then

`6^(-2)` =
`(1)/(6^(2) )` =
`(1)/(36)`

6² ×
`6^(-2)`

= 36 ×
`(1)/(36)`

= 1