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

asked Apr 27, 2021 230k views

2 votes

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5 votes

Answer:

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

Cmujica answered May 3, 2021

8.4k points

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