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why does -(2x^2)^5 simplify to -(32x^10) ? where does 32 come from?

 Sep 3, 2015
 #1
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Use the fact that \((a\times b)^m = a^m\times b^m\)

 

and the fact that \((a^m)^n=a^{m*n}\)

 

to get \(-(2x^2)^5\rightarrow -(2^5\times (x^2)^5) \rightarrow -(32\times x^{10})\)

 Sep 3, 2015

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