Question

How do you simplify `(5^4 times 5^7) / 5^8`?

Answer 1

`5^3`

Explanation:

Using indices law:

`a^m * a^n = a^(m+n)`

`a^m / a^n = a^(m-n)`

So,

`(5^4)*( 5^7 )= 5^(4+7) = 5^11`

and

`5^11 / 5^8 = 5^(11-8) = 5^3`