anonymous
  • anonymous
How to simplify the expression (-3c^3 d^4 e^6) ^2
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Nnesha
  • Nnesha
hint: \[\huge\rm (x^a y^b)^m = x^{a \times m}y^{b \times m}\]
welshfella
  • welshfella
use the rule for exponents - what Nnesha said
anonymous
  • anonymous
oh okay so it would be \[-3 c^{6} d ^{8} e ^{12} ?\]

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anonymous
  • anonymous
cause you would multiply the 2 with all the rest right?
welshfella
  • welshfella
doont forget to include the coefficients in your calculations
Nnesha
  • Nnesha
-3 is raising to the 2nd power as wll
welshfella
  • welshfella
(-3)^2 = 9
Nnesha
  • Nnesha
-3 is same -3^1 \[\rm so (-3^1)^2= (-3)^{1 \times 2}\]
anonymous
  • anonymous
well i mean for the coefficients, wouldn't they be the letters?
anonymous
  • anonymous
so the answer is 9^2 c^6 d^8 e^12?
anonymous
  • anonymous
Cause there are no numbers
Nnesha
  • Nnesha
that was an example \[\huge\rm (x^a y^b)^m = x^{a \times m}y^{b \times m}\] everything which is inside the parentheses raising to the m power
anonymous
  • anonymous
If yes, would the final answer be \[9c^{6} d ^{8} e ^{6}\]
Nnesha
  • Nnesha
\[\huge\rm (e^6)^2 = e^{??}\]
anonymous
  • anonymous
oh i meant e^12
Nnesha
  • Nnesha
yes right
anonymous
  • anonymous
okay thank you
Nnesha
  • Nnesha
np

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