Question

Simplify 5^12/ 5^2 x 5
give your answer in power of 5

Answer 1

`5^(11)`

Explanation:

Using the rules of exponents

•
`a^(m)` ×
`a^(n)` =
`a^((m+n))`

•
`(a^(m) )/(a^(n) )` =
`a^((m-n))`

Given

`(5^(12) )/(5^(2) )` ×
`5^(1)`, then

=
`5^((12-2))` ×
`5^(1)`

=
`5^(10)` ×
`5^(1)`

=
`5^((10+1))`

=
`5^(11)`