MugofPepsi
MugofPepsi MugofPepsi
  • 28-12-2018
  • Mathematics
contestada

p^n/p^8 = p^-6 what is N? the arrows pointing up mean the power of the letter

pnp8 p6 what is N the arrows pointing up mean the power of the letter class=

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chloe8668
chloe8668 chloe8668
  • 28-12-2018
Answer: n=2
Steps:
p^n/p^8 = p^-6

p^n = p^8 × p^-6

p^n = p^(8-6)

p^n = p^2

n=2
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gmany
gmany gmany
  • 28-12-2018

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{p^n}{p^8}=p^{-6}\\\\p^{n-8}=p^{-6}\iff n-8=-6\qquad\text{add 8 to both sides}\\\\\boxed{n=2}[/tex]

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