Sinz
Simplify the following expression, and rewrite it in an equivalent form with positive exponents. -18x^2y^4/6x^7y^2
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Walleye
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\[-18x^2y^4/6x^7y^2\]
Walleye
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is this what you mean
Sinz
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YES
Sinz
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Sorry for the caps
Walleye
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ok great
think of it like this
\[-18x*x*y*y*y*y/6x*x*x*x*x*x*x*y*y\]
Walleye
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I know it looks long but now think about canceling
Sinz
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okay so when dividing you subtract then right
Walleye
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yes if you had X^3/x^2 you would have x^3-2
Sinz
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okay was just trying to figure out how the division part worked for exponents so now I divide -18 from 6 to get 3 right then subtract the like exponents
Walleye
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yes! but you have one little error. do you see it?
Sinz
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the negative sign
Walleye
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yep! good work!
Sinz
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well from the way the question was worded it said to rewrite with positive exponents
Walleye
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ah yes the exponent means the power. as in x^5 5 is the exponinet
-3 is called the coeffecient in you problem
Sinz
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okay so I was right when I said the problem I got -3x^5y^2 but it doesn't look right to me
Walleye
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I see what you mean the simplied version will be-3x^-5y^2
Walleye
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like this
\[-3y^2 / x^5\]
Sinz
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okay is that the way it is supposed to look
Sinz
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I wasn't sure
Walleye
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yep! simpfied here means that you did all of the division you could
Walleye
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remember that x^-3 = 1/(x^3) for example
Sinz
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one other question when you multiply 2 negatives you get 2 positives correct?
Sinz
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okay that's right
Walleye
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Negative * negative = postive
Sinz
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okay thanks
Walleye
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np!
Sinz
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Thank you again for helping me to answer my problem
Sinz
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I gave you a medal and fanned you also
Walleye
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No problem anytime!