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