anonymous
  • anonymous
hello, Amistre64?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
hi :)
anonymous
  • anonymous
o.O
anonymous
  • anonymous
Hey, you are still here! And it's me with these blasted exponents again! What are the rules for negative exponents?

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More answers

anonymous
  • anonymous
Like 2^-3/4, what is that answer?
anonymous
  • anonymous
How do you write it out to figure the answer no matter what the exponents are?
anonymous
  • anonymous
\[a^{-b}=\frac{1}{a^{b}} \]
anonymous
  • anonymous
ok, so 2^-3/4 is 1/2^3/4? What is the value of that then?
amistre64
  • amistre64
\[2^{-3/4} \iff \frac{1}{2^{3/4}}\]
anonymous
  • anonymous
you can split up the fraction. (2^3)^(1/4)=8^(1/4) 1/(8^(1/4))
anonymous
  • anonymous
ok, so are the answers ever negative when you have a negative exponent? It looks to me like they are always positive!
anonymous
  • anonymous
sure -2^-3=-1/8
anonymous
  • anonymous
but thaqt is where the base number is negative. what about the exponent being negative?
amistre64
  • amistre64
programs dont like to see a ^-exp
amistre64
  • amistre64
a negative exponents is a symbol for inverse; and the inverse of a rational number is just flipping it over
anonymous
  • anonymous
i am very very confused. How can -2^-3 be -1/8
anonymous
  • anonymous
(-2)^-3=1/(-2)^3=1/-8=-1/8
anonymous
  • anonymous
Ah! I see! Ok...this is so confusing I am scared
amistre64
  • amistre64
\[-2^{-x} \iff \frac{-1}{2^x}\] \[{-1\over 2^3} = {-1\over8}\]
anonymous
  • anonymous
its not so bad after you've practiced enough just keep doing problems
anonymous
  • anonymous
so does 1/1^1/2 equal 1?
anonymous
  • anonymous
sqrt(1)=1 yep
amistre64
  • amistre64
\[1^{anything}=1\]
anonymous
  • anonymous
anything^0=1
anonymous
  • anonymous
ok, but what if it is 1/3^1/2? What the answer then?
anonymous
  • anonymous
0^0=1 is debatable though I think
amistre64
  • amistre64
\[\sqrt{1/3}\]
amistre64
  • amistre64
\[{1\over\sqrt{3}} \iff {\sqrt{3}\over3}\]
anonymous
  • anonymous
wait a minute, Amistre64, why is that sqrt of 1/3? Isn't it just 1/sqrt3?
anonymous
  • anonymous
same thing, sqrt(1)=1
amistre64
  • amistre64
\[\sqrt{{1\over3}}\iff {\sqrt{1}\over\sqrt{3}}\iff \frac{1}{\sqrt{3}}\iff \frac{\sqrt{3}}{3}\]
anonymous
  • anonymous
My problem in particular is the following: -1-2(1)^1/2. That's what I cannot figure out.
amistre64
  • amistre64
that looks to be -3
anonymous
  • anonymous
Wait TYPO!!! sorry! Do Not Reply to that. It's -1-2(1)^-1/2
amistre64
  • amistre64
\[-1-2(1^{1/2})\]
amistre64
  • amistre64
\[-1-2(1^{-1/2})\]
amistre64
  • amistre64
\[-1-2(1^{-1/2}) \rightarrow 1^{anything}=1\] \[-1-2(1) \iff -1-2=-3\]
anonymous
  • anonymous
ok, but what if that said -1-2(3)^-1/2
anonymous
  • anonymous
What does 3^-1/2 equal
anonymous
  • anonymous
oh wait! That =1/sqrt3, right?
amistre64
  • amistre64
yes
amistre64
  • amistre64
tell me; what does an exponent mean?
anonymous
  • anonymous
ok, so then what if it is 3^-3/4? Would that be 1/4throot of 27?
anonymous
  • anonymous
I do not know how to define an exponent. Sorry.
amistre64
  • amistre64
it is simply a way to write large numbers; it tells us how many times we multiply to get the number it represents
amistre64
  • amistre64
do you know what multiplication is?
anonymous
  • anonymous
That i know!
amistre64
  • amistre64
multiplication is a way of writing large numbers; and it tells us how many times we add the number to itslef
amistre64
  • amistre64
2+2+2+2+2+2 = ? = 6(2) right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
2.2.2.2.2.2 = ? = 2^6
amistre64
  • amistre64
that is all an exponent amounts to
amistre64
  • amistre64
tell me: if a positive exponent means to multiply; what does a negative exponent tell us?
anonymous
  • anonymous
you know that problem up there, the one I said I needed to figure out? They are saying that the answer to - -2(1)^-1/2 is=-1 not -3.
amistre64
  • amistre64
then you prolly mis notated it
amistre64
  • amistre64
or the program could be in error :)
anonymous
  • anonymous
Sorry typo again. It's -1-2(1)^-1/2 Let me try to use the equation thing.
amistre64
  • amistre64
a negative exponent indicates division; since its the opposite of multiplication right?
anonymous
  • anonymous
\[-1-2(1)^{-1/2}\]
amistre64
  • amistre64
2^-3 means: ((1/2)/2)/2 = 1/8
amistre64
  • amistre64
\[-1-2(1)^{-1/2} = -1-2(1) = -1-2 = -3\]
anonymous
  • anonymous
ok! This is sooooo hard. I just can't get a grasp on it. I;m sorry. I'm so frustrated I could cry! I have been wroking on this single problem for 6 hours and I cannot get it right.
amistre64
  • amistre64
you know what we do when that happens? we say 'next' and move on lol
amistre64
  • amistre64
one answer to one math problem aint gonna end the world dear :)
anonymous
  • anonymous
But all these problems have these exponents in them and I cannot get any of them right!
amistre64
  • amistre64
are they in a book? or on the computer?
anonymous
  • anonymous
I mean ALL of them have exponents! And that's alot of wrong answers, not just one!
anonymous
  • anonymous
They are on my MathXL program for my class
amistre64
  • amistre64
do you know how to get a screen shot?
anonymous
  • anonymous
No, I dont' even know what that is.
amistre64
  • amistre64
look near your keys on the keyboard that you never use; pause, break, scroll lock.... and tell me if you see a 'PrtScrn' key
anonymous
  • anonymous
yes I do. What does it do?
amistre64
  • amistre64
its the 'print screen' key; it takes a picture of whatever is on your screen
anonymous
  • anonymous
ok, so then what do I do with it?
amistre64
  • amistre64
do you have a paint program on your computer? you on windows?
anonymous
  • anonymous
I am on windows 7, but I don't know how to use paint or anything like that. Not only do I suck at math I suck at computers and most things!
amistre64
  • amistre64
click: START -> PROGRAMS -> ACCESSORIES -> PAINT
anonymous
  • anonymous
ok, then what do I do when I open paint?
amistre64
  • amistre64
you tell me that youve opened it lol
anonymous
  • anonymous
oh you are a funny one!
amistre64
  • amistre64
you ever copy and paste anything in a text document?
anonymous
  • anonymous
I opened it but it took up so much of the screen I cannot see this one. I have copied and pasted. How do I do that aFTE I take a creen shot of the screen?
anonymous
  • anonymous
That wierd word is after
amistre64
  • amistre64
in paint, just rightclick the mouse and pick 'paste' or hold down your 'ctrl' key and press the 'v' key
anonymous
  • anonymous
when i click screen shot, where si the picture of the screen saved?
anonymous
  • anonymous
THAT weird word is "is" not si.
amistre64
  • amistre64
its saved in memory; the steps are: 1; press the 'prtscrn' key 2; open paint 3; hold down the 'ctrl' key and press the 'v' key
anonymous
  • anonymous
ok let me try that. If I blow up my computer...; )
amistre64
  • amistre64
...... blame the kid lol
anonymous
  • anonymous
i never thought I'd be laughing over this calculus today...thanks! Let me try that!
anonymous
  • anonymous
ok, I have it on the paint screen, now what do I do with it?
amistre64
  • amistre64
click: File. click: Save in the box that opens press 'desktop' to save it on your desktop then you can attach it to the post inhere with the 'attach file' button at the bottom of the screen
anonymous
  • anonymous
ok, but you are sure asking alot of a dummy, buddy. ; )
amistre64
  • amistre64
:) baby steps
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
Hey, I just got an achievement award for that! I like this place!
amistre64
  • amistre64
lol..you did it yay!!
amistre64
  • amistre64
is this the problem your working on?
anonymous
  • anonymous
That is the problem with the answer for the whole mess in that box.
amistre64
  • amistre64
why dont i just step you thru this problem instead of trying to guess what you need lol
anonymous
  • anonymous
ok, if you don't mind!
amistre64
  • amistre64
you aint doin a derivative of nuthin; your integrating ...
anonymous
  • anonymous
what does integrating mean, anyway?
amistre64
  • amistre64
first step is to make life easier by turning it into a sum of parts...like this: \[\frac{s^2+\sqrt{s}}{s^2}\iff \frac{s^2}{s^2}+ \frac{s^{1/2}}{s^2}\]
amistre64
  • amistre64
\[1 + s^{1/2 - 2} \iff 1+s^{-3/2}\]
amistre64
  • amistre64
it means to undo a derivative for now
amistre64
  • amistre64
\[\int_{} 1+s^{-3/2}ds\] is the problem
amistre64
  • amistre64
which becomes the intergral of sums like this: \[\int_{}1ds+\int_{}s^{-3/2}ds\]
amistre64
  • amistre64
\[\int_{}1ds \implies s\] \[\int_{}s^{-3/2}ds \implies \frac{s^{-(3/2)+1}}{-(3/2)+1}\]
amistre64
  • amistre64
\[s + \frac{s^{-1/2}}{-1/2} \implies s-2s^{-1/2} from|1,\sqrt{11}|\]
amistre64
  • amistre64
\[\sqrt{11}-2(\sqrt{11})^{-1/2} - (1-2(1)^{-1/2})\]
amistre64
  • amistre64
\[\sqrt{11}-\frac{2}{\sqrt{\sqrt{11}}} -1 +2\] \[\sqrt{11}-\frac{2}{\sqrt[4]{11}}+1\]
amistre64
  • amistre64
does this look better yet?
amistre64
  • amistre64
is the answer in the box what they say is correct?
anonymous
  • anonymous
the answer in the box is the one they say is correct, yes.
amistre64
  • amistre64
then i guess i can stop at that lol
anonymous
  • anonymous
so in other words, you know exactly what you are doing!!!
amistre64
  • amistre64
ive been known to yes :)
anonymous
  • anonymous
oh boy. I really need to work that. It's the end with the -1 or 3 that I keep getting confused. I knew that answer would be either one but the exponent throws me off and I don't know if it's a positive one or a negative one.
amistre64
  • amistre64
post another question; cause i think this ones getting wacky with all the replies; and attachthe next file for the next question and lets see if we can work thru it

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