Question

Without finding the value of the fraction or using negative exponents, simplify 4^3/4^8 so that it remains in fraction form.

Answer 1

`(1)/(4^(5) )`

Explanation:

using the rule of exponents

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

`(4^(3) )/(4^(8) )`

=
`(1)/(4^((8-3)) )`

=
`(1)/(4^(5) )`