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Mathematics 14 Online
OpenStudy (anonymous):

http://i64.tinypic.com/t82kk8.jpg How to prove E) ? I need to prove that i get the number after =

OpenStudy (anonymous):

I don't understand, because its different from doing for example C), if i would do like C) i get BIG numbers so can anyone help to

OpenStudy (amistre64):

simplify first, this is just a huge mess for practicing your exponent rules mainly,and a little algebra to boot

OpenStudy (amistre64):

how do we work rewrite : (ab)^n ? or: a^x * a^y

OpenStudy (anonymous):

a^x+y

OpenStudy (amistre64):

good,and a^n b^n i get it to simplify to:1/(3(1+4)) but its all a matter of focusing and paying attention to what you are doing get as many like bases as you can ... 3^x and 5^y are going to be what you want to look for

OpenStudy (amistre64):

1/(3(1+3)) that is ....

OpenStudy (amistre64):

as for the top, we can work it as: \[3^{-3}*(5*3)^4\implies 3^{-3}*5^4*3^4\implies 3*5^4\] now focus on the bottom

OpenStudy (anonymous):

So 3^2*5*5^3+5^4*3^0(?not sure about this..)*3^7

OpenStudy (anonymous):

??

OpenStudy (amistre64):

not 3^0 :) (3^2)^(-2) = 3^(2*(-2)) =3^(-4)

OpenStudy (amistre64):

3^2 * 5 * 5^3 + 5^4 * 3^(-4) * 3^7 3^2 * (5 * 5^3) + 5^4 * (3^(-4) * 3^7) 3^2 * 5^4 + 5^4 * 3^3 ^^^ 3^2 * 3 factor out the commons:3^2 and 5^4 3^2 * 5^4 * (1+3) is our simplified denominator -------------------- soooo 3 * 5^4 on top ---------------- 3^2 * 5^4 * (1+3) on bottom

OpenStudy (anonymous):

Why 3^2*3 ?? Sorry, i wanna understand because i have a test tomorrow! Thank u so much for helping me btw...

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