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Simple question...yet oh so hard for me. TT__TT 
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#1
Jan2408, 03:06 PM

P: 26

Evaluate and express as a fraction in lowest terms
3 to the power of 4 + (3)to the power of 3  (3)to the power of 2. (I apoligize...I don't know how to type powers on the computer...>_<) I tried to evaluate it like it told me to...so I ended up with 8127+9 =63 Yet when I checked the answers sheet, it said the anwer was 117. What I want to know is WHY? Am I doing something wrong? TT_____TT 


#2
Jan2408, 03:17 PM

P: 1,633

[tex]3^{4}+(3)^{3}(3)^{2}=81279=117[/tex] well there are two mistakes on what you did, first [tex]3^{4}=81[/tex] and not 81, pay heed, the minus sign is not included whithin the power, so the power does not actually affect the sign here, also [tex](3)^{2}=9[/tex] be carefull again the first minus sign is not included within the power, so the power of two only affects(changes) the second minus sign that is included whithin the bracktets. I hope this helps! 


#3
Jan2408, 03:22 PM

P: 26

I see. Thank you so much. I was always confused by why there were brackets sometimes. So if there are no brackets around the integer, the power does not affect it and it stays the same, but if there is a bracket, the power affects it, even power being positive, odd being negative. I think I understand.
Thank you very much. ^_____________^ 


#4
Jan2408, 03:28 PM

P: 1,633

Simple question...yet oh so hard for me. TT__TT
here are a couple of examples i will write down for you
[tex]2^{4}=16[/tex] wheras [tex](2)^{4}=16[/tex] [tex](3)^{2}=9[/tex] [tex](3)^{3}=27[/tex] you see that odd powers do not affect the sign even if the sign is included within the brackets. [tex](4)^{2}=16[/tex] wheras [tex](4)^{3}=64[/tex] 


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