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12-09-2008   #1 (permalink)
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Default Algebra hmk

(x^6y^-5)(x^2y^4)^-3
---------------------------
(xy^2)^-1

Could someone help me on this question step by step? Thanks.
I'm not sure if I do (x^2*-3)(y^4*-3) first.
 
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12-09-2008   #2 (permalink)
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lkajfds . . .
Sorry~ o/
My reading disabilities have gotten the best of me and blinded me from seeing the correct numbers. Anyway, Kenjii's got it~ o/
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Last edited by kuyaBaka; 12-09-2008 at 05:48 PM. Reason: fail @ reading.
 
12-09-2008   #3 (permalink)
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(x^6y^-5)(x^2y^4)^-3
---------------------------
(xy^2)^-1

(x^6y^-5)(xy^2)
---------------------------
(x^2y^4)^3

(x^6y^-5)(xy^2)
---------------------------
(x^6y^12)

(x^7y^-3)
---------------------------
(x^6y^12)

(x^7)
---------------------------
(x^6y^15)

(x)
---------------------------
(y^15)

My answer's different from kuyabaka. Kuyabaka didn't distribute the ^3 exponent.
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12-09-2008   #4 (permalink)
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Quote:
Originally Posted by Kenjii
(x^6y^-5)(x^2y^4)^-3
---------------------------
(xy^2)^-1

(x^6y^-5)(xy^2)
---------------------------
(x^2y^4)^3

(x^6y^-5)(xy^2)
---------------------------
(x^6y^12)

(x^7y^-3)
---------------------------
(x^6y^12)

(x^7)
---------------------------
(x^6y^15)

(x)
---------------------------
(y^15)

My answer's different from kuyabaka. Kuyabaka didn't distribute the ^3 exponent.
/facepalm
Forgot the negative exponent wasn't "-1". .-.;
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12-09-2008   #5 (permalink)
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Thanks, that's what I thought since you just flip the numbers and the negative exponents go away.
 
12-09-2008   #6 (permalink)
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I can't seem to read these numbers on the computer screen. Does (x^6y^-5) mean x to the power of 6y to the power of -5? or x to the power of 6 multiplied by y to the power of -5? Numbers look so confusing
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12-09-2008   #7 (permalink)
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Here's a guided version;



Excuse my poor handwriting.
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12-09-2008   #8 (permalink)
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Quote:
Originally Posted by Dragon
I can't seem to read these numbers on the computer screen. Does (x^6y^-5) mean x to the power of 6y to the power of -5? or x to the power of 6 multiplied by y to the power of -5? Numbers look so confusing
It's the latter.
I just can't see powers or powers going on much in Algebra I or II.

I'd spread out the terms and use asterisks (*) to multiply between them. Keeps them nice and spaced out. Text isn't the best way to demonstrate math. :X
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12-12-2008   #9 (permalink)
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He typed it as if he typed it in a graphing calculator.

If you try to do x^2*3, it'll look like (x^2)*3.
If you want to do the other confusing way that you guys are mentioning, you would do x^(2*3).
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12-12-2008   #10 (permalink)
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Oh, that makes more sense that way
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