174k views
4 votes
I don’t understand exponets Very well and need an answer

I don’t understand exponets Very well and need an answer-example-1
User OhJeez
by
8.2k points

1 Answer

1 vote

Answer:


(d^3)/(c^5)

Explanation:

using the rules of exponents


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


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

given


\frac{c^9d^(-7) }{c^{14d^(-10) } }

=
(c^(9) )/(c^(14) ) ×
(d^(-7) )/(d^(-10) )

=
c^((9-14)) ×
d^((-7-(-10)))

=
c^(-5) ×
d^((-7+10))

=
(1)/(c^(5) ) × d³

=
(d^(3) )/(c^(5) )

User Clarkie
by
8.0k points

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