Question

Simplify (-4/5)^9/(-4/5)^10​

Answer 1

`-(5)/(4)`

Explanation:

We are given two fractions and are asked to simplify it.

So

`(-(4)/(5) )^9 / (-(4)/(5) )^(10)`

We can follow the exponent rule of subtracting them since both fractions are the same value.

`(-(4)/(5) )^(9-10)`

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

Now do the negative exponent rule :

`(1)/(-(4)/(5) )`

Move the negative in between the fraction :

`-(1)/((4)/(5) )`

And apply the fraction switcharoo :

`(5)/(4)`