Work it out for yourself and you'll feel much better for it.
So, I did a maths test today. The professor allowed us to take the tasks home so I decided to upload them here since we're not getting the test untill Tuesday.If you could calulate these and give me the results so I can know what I'm on...
Task #1: Calculate:
a) (-2^{m}b^{n})^{4}
b) a^{-2}+a^{-3 }; if a=2
Task #2: Divide on factors:
a) a^{4}b^{2}-c^{2}
Task #3: Shorten the fraction:
a^{3} - b^{3}___
a^{2}+ab+b^{2}
Task #4: Calculate:
(the underline is the main fraction since it has double fractions)
x/a - x/2a____
x^{2}/a^{2} - x^{2}/2a^{2}
@Alen
@iverson954360
Last edited by Lucianberg; 12-08-2011 at 07:27 AM.
Work it out for yourself and you'll feel much better for it.
(-2^m b^n )^4=((-1)⋅2^m⋅b^n )^4=(-1)^4 (2^m )^4 (b^n )^4=2^4m b^4n=16^m b^4n
a^(-2)+a^(-3)=a⋅a^(-3)+1⋅a^(-3)=(a+1) a^(-3)=(2+1)/2^3 =3/8
a^4 b^2-c^2=(a^2 b)^2-c^2=(a^2 b-c)(a^2 b+c)
(a^3-b^3)/(a^2+ab+b^2 )=((a-b)(a^2+ab+b^2))/(a^2+ab+b^2 )=a-b
(x/a-x/2a)/(x^2/a^2 -x^2/(2a^2 ))=(x/2a)/(x^2/(2a^2 ))=(2a^2 x)/(2ax^2 )=a/x
Or with le substitution (most likely what the prof wanted):
(x/a-x/2a)/(x^2/a^2 -x^2/(2a^2 ))=(l-l/2)/(l^2-l^2/2),l=x/a
((l-l/2)⋅2)/((l^2-l^2/2)⋅2)=(2l-l)/(2l^2-l^2 )=l/l^2 =1/l=a/x
I'm Alen on Steam. RIP Skype Friday nights.
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This exam is not hard at all, you just need to practice your laws of exponents as well as a few rules pertaining to polynomial functions. Alen made solving the second one look harder than it needed to be. When you see something raised to a negative power you must put it on the opposite side of the fraction so in this case if you have all whole numbers over an a 1 ie. 2/1, 3/1, etc. then when a negative exponent comes into play you just flip the fraction ie (2^-2)/1 goes to 1/(2^2) which you then just solve simply as 1/4.
I'm Alen on Steam. RIP Skype Friday nights.
I'm Navi's lover ♥
Messenger: Toxin about Dave | Paladin on Skyrim's AI | Dakota on JB | Royku leeching | Sjoerd's penis | Blitz's derpiness | Jason on Blitz
Dave84311: God I've always wanted to eat crayons, with their vibrant colors. Only if they had taste.
Mr. Lonely: @Alen I like making you wet, it makes me hard.
I'm Alen on Steam. RIP Skype Friday nights.
I'm Navi's lover ♥
Messenger: Toxin about Dave | Paladin on Skyrim's AI | Dakota on JB | Royku leeching | Sjoerd's penis | Blitz's derpiness | Jason on Blitz
Dave84311: God I've always wanted to eat crayons, with their vibrant colors. Only if they had taste.
Mr. Lonely: @Alen I like making you wet, it makes me hard.
I'm Alen on Steam. RIP Skype Friday nights.
I'm Navi's lover ♥
Messenger: Toxin about Dave | Paladin on Skyrim's AI | Dakota on JB | Royku leeching | Sjoerd's penis | Blitz's derpiness | Jason on Blitz
Dave84311: God I've always wanted to eat crayons, with their vibrant colors. Only if they had taste.
Mr. Lonely: @Alen I like making you wet, it makes me hard.
OMFG!!!!!!