Faolan
  • Faolan
Simplify (3a^2)^3
Mathematics
schrodinger
  • schrodinger
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Faolan
  • Faolan
Do i square the 3 in parenthesis or..... what do i do?
Nnesha
  • Nnesha
\[\huge\rm (x^m)^n= x^{m \times n}\] exponent rule
Nnesha
  • Nnesha
bur remember (ab)^2 is same as a^2 and b^2

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Faolan
  • Faolan
so 3a^6
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Nnesha bur remember (ab)^2 is same as a^2 and b^2 \(\color{blue}{\text{End of Quote}}\) hint^
Nnesha
  • Nnesha
(ab)^2 means both a and b raising to the 2nd power
Faolan
  • Faolan
3a^6 then... 729a? or am i doing it wrong
Michele_Laino
  • Michele_Laino
hint: \[\Large {\left( {3{a^2}} \right)^3} = {3^{1 \times 3}}{a^{2 \times 3}} = ...?\]
Nnesha
  • Nnesha
\[\huge\rm (3a^2)^3=(3)^3 (a^2)^3\] 3 and a^2 both raised to the 3rd power
Nnesha
  • Nnesha
that was an example \[\rm (ab)^2 = a^2b^2\]
Faolan
  • Faolan
got it! Thanks!
Nnesha
  • Nnesha
my pleasure :)

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