Spring98
  • Spring98
simplify 5^-4/5^3. Do I add the exponents?
Mathematics
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SOLVED
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chestercat
  • chestercat
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CGGURUMANJUNATH
  • CGGURUMANJUNATH
5^(-4-3)
Spring98
  • Spring98
so will the answer be 5^7 @CGGURUMANJUNATH
Jhannybean
  • Jhannybean
\[\large \frac{x^n}{x^m} = x^{n-m}\] therefore \[\frac{5^{-4}}{5^3} = 5^?\]

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More answers

Spring98
  • Spring98
5^7
Jhannybean
  • Jhannybean
Not quite. Remember that we are SUBTRACTING the power in the numerator from the power in the denominator.
Spring98
  • Spring98
o so it would be 5^-1 right?
CGGURUMANJUNATH
  • CGGURUMANJUNATH
5^(-7)
Jhannybean
  • Jhannybean
no. -4 - 3 = - (4+3) = ?
anonymous
  • anonymous
\[\frac{ 1 }{ 5^{4} 5^{3}}\]
Spring98
  • Spring98
1/5^7
Jhannybean
  • Jhannybean
Yes that's another way to do it @yinkim52001
Jhannybean
  • Jhannybean
Good, and what is 5\(^7\)?
anonymous
  • anonymous
which is\[\frac{ 1 }{ 5^{7} }\]
anonymous
  • anonymous
thats your answer
anonymous
  • anonymous
i know there's another way just show her the steps @Jhannybean
Spring98
  • Spring98
thanks for your help.
anonymous
  • anonymous
No problem

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