Question

PLEASEE HELPP....Simplify the expression using properties of exponents.​

Answer 1

D

Explanation:

Using the rule of exponents

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

Given

`(25a^(-5)b^(-8) )/(5a^(4)b )`

=
`(25)/(5)` ×
`(a^(-5) )/(a^(4) )` ×
`(b^(-8) )/(b^(1) )`

= 5 ×
`(1)/(a^((4-(-5))) )` ×
`(1)/(b^((1-(-8))) )`

= 5 ×
`(1)/(a^(9) )` ×
`(1)/(b^(9) )`

=
`(5)/(a^(9)b^(9) )` → D