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

User Pdubs
by
3.4k points

1 Answer

12 votes

Answer:

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

User Jforberg
by
3.2k points