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39 votes
Algebra pls help

Really

Algebra pls help Really-example-1
User Wim
by
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1 Answer

10 votes
10 votes

Answer: n=-14

Explanation:

CONCEPT:

  • When the same-base exponents MULTIPLY= adding the exponents
  • When the same-base exponents DIVIDE= subtracting the exponents

SOLVE:

The expression in the questions is
(x^(3) )(x^(-17)) which is MULTIPLYING, which means we should add the exponents together


(x^(3) )(x^(-17))=
x^n ⇔ Given


x^(3+(-17))=
x^n ⇔ Adding Exponents Together


x^(3-17)=
x^n ⇔ Simplify


x^(-14)=
x^n ⇔ Simplify


n=
-14 ⇔ Correspondingly

Hope this helps!! :)

Please let me know if you have any questions

User Sbeam
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2.8k points