SOLUTION: what is the expended form of 2(a^2b^3c)^2 a. 4aaaabbbbcc b. 2aaaabbbbbcccc c. 4aaaabbbbbccc d. 2aaaabbbbbbcc

Question 86545: what is the expended form of 2(a^2b^3c)^2
a. 4aaaabbbbcc
b. 2aaaabbbbbcccc
c. 4aaaabbbbbccc
d. 2aaaabbbbbbcc
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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Start with the given expression

When you multiply common bases with exponents, you add the exponents

Add the exponents (note: the variables and exponents of the 2nd parenthesis now equal 1. So we don't need to bother with writing them out)

So the expression

simplifies to

which really looks like

note: there are 4 a's, 6 b's, and 2 c's

so the answer is d)

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