Question

How do you evaluate `6^5/6^2`?

Answer 1

`6^3` = 216

Explanation:

Using the index laws
`(a^m)/(a^n)` = `a^(m-n)`

`6^5/6^2` = `6^(5-2)` = `6^3` = 216

Answer 2

`6^3` = 216

Explanation:

When dividing two numbers with exponents, which have the same base, you can just subtract the exponents from eachother like this:
`(a^b)/(a^c) = a^(b-c)`
and similarly (eventhough its not relevant to this problem,)
`(a^b)*(a^c) = a^(b+c)`
therefor:
`(6^5)/(6^2) = 6^(5-2) = 6^3 = 6*6*6 = 216`