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[(p)^-6(p)^2]^-3

 Aug 9, 2017
 #1
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Okay, I will attempt to simplify the expression of \((p^{-6p^2})^{-3}\) with only positive exponents:

 

\((p^{-6p^2})^{-3}\) Use the exponent rule that \(a^{-b}=\frac{1}{a^b}\)
\(\frac{1}{(p^{-6p^2})^3}\) Use the exponent rule that states that \((a{^b})^c=a^{b*c}\).
\(\frac{1}{p^{-6p^2*3}}\) Combine like terms in the exponent.
\(\frac{1}{p^{-18p^2}}\) This expression is simplified as much as possible.
   
 Aug 9, 2017
 #2
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[(p)^-6(p)^2]^-3

 

simplify  1/(p^2/p^6)^3

=1/[p^6 / p^18]  Take the reciprocal of it:

=p^18 / p^6

=p^(18 - 6)

=p^12

 Aug 9, 2017
edited by Guest  Aug 9, 2017

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