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Simplify:
1. (z)^3(3z^4)
2. 5(x^2z^6)^3(5x^2z^6)^3
Thank you!:)
 7 months ago
 7 months ago
Help! Simplify: 1. (z)^3(3z^4) 2. 5(x^2z^6)^3(5x^2z^6)^3 Thank you!:)
 7 months ago
 7 months ago

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jim_thompson5910Best ResponseYou've already chosen the best response.2
what does (z)^3 simplify to
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
z? I don't know... :/
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
(z)^3 = (1*z)^3 (z)^3 = (1)^3*(z)^3 (z)^3 = 1*z^3 (z)^3 = z^3
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
(z)^3(3z^4) turns into z^3*3z^4
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
add the z's but the negative is still messing me up :/
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
think of z^3*3z^4 as 1z^3*3z^4
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so the coefficients are 1 and 3, they multiply to 1*3 = 3
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
z^3 times z^4 = z^(3+4) = z^7 so the final answer is 3z^7
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
thank you! :) can you help me with the second one as well?
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
how far did you get with it?
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
does exponents distribute first? if so, does the ^3 distribute to the 5 as well or just the (x^2z^6)?
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
the exponent of 3 only applies to terms inside the parenthesis
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
so (x^2z^6)^3 means you cube x^2 and z^6
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
I got 1/25 after simplifying
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you are correct
 7 months ago

greeneyes<3Best ResponseYou've already chosen the best response.1
thank you for helping me! :) you're the best! :)
 7 months ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you're welcome
 7 months ago
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