anonymous
  • anonymous
What is the missing exponent? 8^-5/(8^-7)^2=8[ ]
Mathematics
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anonymous
  • anonymous
What is the missing exponent? 8^-5/(8^-7)^2=8[ ]
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
@Nnesha help again please?
Nnesha
  • Nnesha
you need to know 2 exponent rules \[\huge\rm (x^m)^n=x^{m \times n}\] and the 2nd one \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]when we divide same bases we should subtract their exponents
anonymous
  • anonymous
so for the first one it's -7 times 2 the second one is -5 times -7? @nnesha

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Nnesha
  • Nnesha
first one is right 2nd one you should `subtract` their exponent not multiply them
Nnesha
  • Nnesha
\[\frac{ 8^{-5} }{ 8^{-7 \times 2} }\] -7 times 2 = ?
anonymous
  • anonymous
-14?
Nnesha
  • Nnesha
yes right so \[\frac{ 8^{-5} }{ 8^{-14}}\]
Nnesha
  • Nnesha
now apply 2nd exponent rule
anonymous
  • anonymous
is it -11? I might be wrong
Nnesha
  • Nnesha
here is an example \[\huge\rm \frac{ 2^3 }{ 2^{-3} } =2^{3\color{ReD}{-}(-3)}\]
Nnesha
  • Nnesha
we should subtract their exponents but if the exponents at the denominator is negative then you should add \[\huge\rm \frac{ 2^3 }{ 2^{-3} } =2^{3\color{ReD}{-}(-3)} =2^{3+3}\]

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