anonymous
  • anonymous
The expression (2x^2)^3 is equivalent to _____. 6x^2 6x^5 8x^6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
ok so try breaking the problem down like distributing the exponent 3 to 2 and x separately
anonymous
  • anonymous
Uhm, How do I do that? Sorry Math isn't my best subject.
anonymous
  • anonymous
ok no problem

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anonymous
  • anonymous
so to distribute you would do 2^3 and (X^2)^3.... i know this looks confusing but work with me :) so first solve 2^3
anonymous
  • anonymous
8 :)
anonymous
  • anonymous
\[\eqalign{ (2x^2)^3&=(2*x^2)^3 \\ &=(2^3)*(x^2)^3 \\ &=8*x^6 \\ &=8x^6 \\ }\]
anonymous
  • anonymous
yup! :)
anonymous
  • anonymous
do you still want me to go through the steps or are you ok?
anonymous
  • anonymous
No I still want you to go through the steps so I can make sure I under stand it clearly.
anonymous
  • anonymous
ok cool
anonymous
  • anonymous
But thank you @KeithAfasCalcLover for Showing your work. And thank you @Rose6 for going through the steps with me:)
anonymous
  • anonymous
so the next step is to solve (x^2)^3....so you would just do 2*3=? because in this case you would multiply the exponents... the reason being is because the equation in the parenthesis is being raised to the third power.... then all that's left is to put the problem together! :) And your absolutely welcome! :)
anonymous
  • anonymous
are you ok or did i confuse you on something?
anonymous
  • anonymous
Sorry, I got up to eat dinner. so 6? 8x^6
anonymous
  • anonymous
yes that's right! sorry i got up to eat dinner too! :)
anonymous
  • anonymous
Thats fine and Thank you so much for your help!:) @Rose6

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