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Mathematics 7 Online
OpenStudy (anonymous):

hello, Amistre64?

OpenStudy (amistre64):

hi :)

OpenStudy (anonymous):

o.O

OpenStudy (anonymous):

Hey, you are still here! And it's me with these blasted exponents again! What are the rules for negative exponents?

OpenStudy (anonymous):

Like 2^-3/4, what is that answer?

OpenStudy (anonymous):

How do you write it out to figure the answer no matter what the exponents are?

OpenStudy (anonymous):

\[a^{-b}=\frac{1}{a^{b}} \]

OpenStudy (anonymous):

ok, so 2^-3/4 is 1/2^3/4? What is the value of that then?

OpenStudy (amistre64):

\[2^{-3/4} \iff \frac{1}{2^{3/4}}\]

OpenStudy (anonymous):

you can split up the fraction. (2^3)^(1/4)=8^(1/4) 1/(8^(1/4))

OpenStudy (anonymous):

ok, so are the answers ever negative when you have a negative exponent? It looks to me like they are always positive!

OpenStudy (anonymous):

sure -2^-3=-1/8

OpenStudy (anonymous):

but thaqt is where the base number is negative. what about the exponent being negative?

OpenStudy (amistre64):

programs dont like to see a ^-exp

OpenStudy (amistre64):

a negative exponents is a symbol for inverse; and the inverse of a rational number is just flipping it over

OpenStudy (anonymous):

i am very very confused. How can -2^-3 be -1/8

OpenStudy (anonymous):

(-2)^-3=1/(-2)^3=1/-8=-1/8

OpenStudy (anonymous):

Ah! I see! Ok...this is so confusing I am scared

OpenStudy (amistre64):

\[-2^{-x} \iff \frac{-1}{2^x}\] \[{-1\over 2^3} = {-1\over8}\]

OpenStudy (anonymous):

its not so bad after you've practiced enough just keep doing problems

OpenStudy (anonymous):

so does 1/1^1/2 equal 1?

OpenStudy (anonymous):

sqrt(1)=1 yep

OpenStudy (amistre64):

\[1^{anything}=1\]

OpenStudy (anonymous):

anything^0=1

OpenStudy (anonymous):

ok, but what if it is 1/3^1/2? What the answer then?

OpenStudy (anonymous):

0^0=1 is debatable though I think

OpenStudy (amistre64):

\[\sqrt{1/3}\]

OpenStudy (amistre64):

\[{1\over\sqrt{3}} \iff {\sqrt{3}\over3}\]

OpenStudy (anonymous):

wait a minute, Amistre64, why is that sqrt of 1/3? Isn't it just 1/sqrt3?

OpenStudy (anonymous):

same thing, sqrt(1)=1

OpenStudy (amistre64):

\[\sqrt{{1\over3}}\iff {\sqrt{1}\over\sqrt{3}}\iff \frac{1}{\sqrt{3}}\iff \frac{\sqrt{3}}{3}\]

OpenStudy (anonymous):

My problem in particular is the following: -1-2(1)^1/2. That's what I cannot figure out.

OpenStudy (amistre64):

that looks to be -3

OpenStudy (anonymous):

Wait TYPO!!! sorry! Do Not Reply to that. It's -1-2(1)^-1/2

OpenStudy (amistre64):

\[-1-2(1^{1/2})\]

OpenStudy (amistre64):

\[-1-2(1^{-1/2})\]

OpenStudy (amistre64):

\[-1-2(1^{-1/2}) \rightarrow 1^{anything}=1\] \[-1-2(1) \iff -1-2=-3\]

OpenStudy (anonymous):

ok, but what if that said -1-2(3)^-1/2

OpenStudy (anonymous):

What does 3^-1/2 equal

OpenStudy (anonymous):

oh wait! That =1/sqrt3, right?

OpenStudy (amistre64):

yes

OpenStudy (amistre64):

tell me; what does an exponent mean?

OpenStudy (anonymous):

ok, so then what if it is 3^-3/4? Would that be 1/4throot of 27?

OpenStudy (anonymous):

I do not know how to define an exponent. Sorry.

OpenStudy (amistre64):

it is simply a way to write large numbers; it tells us how many times we multiply to get the number it represents

OpenStudy (amistre64):

do you know what multiplication is?

OpenStudy (anonymous):

That i know!

OpenStudy (amistre64):

multiplication is a way of writing large numbers; and it tells us how many times we add the number to itslef

OpenStudy (amistre64):

2+2+2+2+2+2 = ? = 6(2) right?

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

2.2.2.2.2.2 = ? = 2^6

OpenStudy (amistre64):

that is all an exponent amounts to

OpenStudy (amistre64):

tell me: if a positive exponent means to multiply; what does a negative exponent tell us?

OpenStudy (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.

OpenStudy (amistre64):

then you prolly mis notated it

OpenStudy (amistre64):

or the program could be in error :)

OpenStudy (anonymous):

Sorry typo again. It's -1-2(1)^-1/2 Let me try to use the equation thing.

OpenStudy (amistre64):

a negative exponent indicates division; since its the opposite of multiplication right?

OpenStudy (anonymous):

\[-1-2(1)^{-1/2}\]

OpenStudy (amistre64):

2^-3 means: ((1/2)/2)/2 = 1/8

OpenStudy (amistre64):

\[-1-2(1)^{-1/2} = -1-2(1) = -1-2 = -3\]

OpenStudy (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.

OpenStudy (amistre64):

you know what we do when that happens? we say 'next' and move on lol

OpenStudy (amistre64):

one answer to one math problem aint gonna end the world dear :)

OpenStudy (anonymous):

But all these problems have these exponents in them and I cannot get any of them right!

OpenStudy (amistre64):

are they in a book? or on the computer?

OpenStudy (anonymous):

I mean ALL of them have exponents! And that's alot of wrong answers, not just one!

OpenStudy (anonymous):

They are on my MathXL program for my class

OpenStudy (amistre64):

do you know how to get a screen shot?

OpenStudy (anonymous):

No, I dont' even know what that is.

OpenStudy (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

OpenStudy (anonymous):

yes I do. What does it do?

OpenStudy (amistre64):

its the 'print screen' key; it takes a picture of whatever is on your screen

OpenStudy (anonymous):

ok, so then what do I do with it?

OpenStudy (amistre64):

do you have a paint program on your computer? you on windows?

OpenStudy (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!

OpenStudy (amistre64):

click: START -> PROGRAMS -> ACCESSORIES -> PAINT

OpenStudy (anonymous):

ok, then what do I do when I open paint?

OpenStudy (amistre64):

you tell me that youve opened it lol

OpenStudy (anonymous):

oh you are a funny one!

OpenStudy (amistre64):

you ever copy and paste anything in a text document?

OpenStudy (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?

OpenStudy (anonymous):

That wierd word is after

OpenStudy (amistre64):

in paint, just rightclick the mouse and pick 'paste' or hold down your 'ctrl' key and press the 'v' key

OpenStudy (anonymous):

when i click screen shot, where si the picture of the screen saved?

OpenStudy (anonymous):

THAT weird word is "is" not si.

OpenStudy (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

OpenStudy (anonymous):

ok let me try that. If I blow up my computer...; )

OpenStudy (amistre64):

...... blame the kid lol

OpenStudy (anonymous):

i never thought I'd be laughing over this calculus today...thanks! Let me try that!

OpenStudy (anonymous):

ok, I have it on the paint screen, now what do I do with it?

OpenStudy (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

OpenStudy (anonymous):

ok, but you are sure asking alot of a dummy, buddy. ; )

OpenStudy (amistre64):

:) baby steps

OpenStudy (anonymous):

OpenStudy (anonymous):

Hey, I just got an achievement award for that! I like this place!

OpenStudy (amistre64):

lol..you did it yay!!

OpenStudy (amistre64):

is this the problem your working on?

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