The expression (2x^2)^3 is equivalent to _____.

6x^2
6x^5
8x^6

Question

The expression (2x^2)^3 is equivalent to _____.

6x^2
6x^5
8x^6

anonymous · Answer

ok so try breaking the problem down like distributing the exponent 3 to 2 and x separately

anonymous · Answer

Uhm, How do I do that? Sorry Math isn't my best subject.

anonymous · Answer

ok no problem

anonymous · Answer

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 · Answer

8 :)

anonymous · Answer

$$\eqalign{
(2x^2)^3&=(2*x^2)^3 \
              &=(2^3)*(x^2)^3 \
              &=8*x^6 \
              &=8x^6 \
}$$

anonymous · Answer

yup! :)

anonymous · Answer

do you still want me to go through the steps or are you ok?

anonymous · Answer

No I still want you to go through the steps so I can make sure I under stand it clearly.

anonymous · Answer

ok cool

anonymous · Answer

But thank you @KeithAfasCalcLover for Showing your work. And thank you @Rose6 for going through the steps with me:)

anonymous · Answer

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 · Answer

are you ok or did i confuse you on something?

anonymous · Answer

Sorry, I got up to eat dinner. so 6? 8x^6

anonymous · Answer

yes that's right! sorry i got up to eat dinner too! :)

anonymous · Answer

Thats fine and Thank you so much for your help!:) @Rose6