anonymous
  • anonymous
I need help with some algebra homework. It is simplifying expressions with exponents. Please help!!
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
\[-2n ^{4} (12n ^{-7})\]
anonymous
  • anonymous
anonymous
  • anonymous

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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
Multiply the coefficients and add the exponents \[-2n^4(12n^-7)=(-2 \times 12)n^{4+(-7)}\]
anonymous
  • anonymous
but i need to simplify it. example: \[-3n ^{2} (8n ^{-5}) =\frac{ -24 }{ n ^{3} } \]
anonymous
  • anonymous
I'm having trouble understanding the whole steps...
anonymous
  • anonymous
-24/n³ is simplifed
anonymous
  • anonymous
To multiply expressions when the bases are the same, add the exponents and multiply the coefficients \[(-3n^2)(8n^{-5})=(-3 \times 8)n^{2+(-5)}=-24n^{-3}\] For negative exponents, if you take the reciprocal of the base, you can make the exponent positive Rule: \[x^{-m}=\left( \frac{ 1 }{ x } \right)^m\] That's why the -3 became 3 and the n moved to the denominator \[-24n^{-3}=-24\left( \frac{ 1 }{ n } \right)^3=\frac{ -24 }{ n^3 }\]
anonymous
  • anonymous
That was exactly what my teacher was trying to show us. It's just I was having trouble. Thanks for the help! :)
anonymous
  • anonymous
you're welcome

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