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anonymous

  • one year ago

I need help with some algebra homework. It is simplifying expressions with exponents. Please help!!

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  1. anonymous
    • one year ago
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    \[-2n ^{4} (12n ^{-7})\]

  2. anonymous
    • one year ago
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    @Hero

  3. anonymous
    • one year ago
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    @pooja195

  4. anonymous
    • one year ago
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    @dan815

  5. anonymous
    • one year ago
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    @amistre64

  6. anonymous
    • one year ago
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    Multiply the coefficients and add the exponents \[-2n^4(12n^-7)=(-2 \times 12)n^{4+(-7)}\]

  7. anonymous
    • one year ago
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    but i need to simplify it. example: \[-3n ^{2} (8n ^{-5}) =\frac{ -24 }{ n ^{3} } \]

  8. anonymous
    • one year ago
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    I'm having trouble understanding the whole steps...

  9. anonymous
    • one year ago
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    -24/n³ is simplifed

  10. anonymous
    • one year ago
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    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 \[-24n^{-3}=-24\left( \frac{ 1 }{ n } \right)^3=\frac{ -24 }{ n^3 }\]

  11. anonymous
    • one year ago
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    That was exactly what my teacher was trying to show us. It's just I was having trouble. Thanks for the help! :)

  12. anonymous
    • one year ago
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    you're welcome

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