anonymous
  • anonymous
3=(3x^2y^0z^-4)^-3 I cant have any Zero, negative or fraction exponents.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
you do not mean 3= do you?
anonymous
  • anonymous
Yeah ignore that
anonymous
  • anonymous
Typo

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anonymous
  • anonymous
\[(3x^2y^0z^{-4})^{-3}\]
anonymous
  • anonymous
Thats exacty how i have it
anonymous
  • anonymous
multiply all the exponents by -3, ignore the \[y^0\] because it is 1
anonymous
  • anonymous
\[3^{-3}x^{-6}z^{12}\] ones with negative exponents go down, rest stays up. \[\frac{z^{12}}{3^3x^6}\]
anonymous
  • anonymous
trick is to not forget the 3. it gets raised to the -3 as well.
anonymous
  • anonymous
Basic multiplication rules apply? two negatives = posative, + and - = negative?
anonymous
  • anonymous
*when multiplying exponents
anonymous
  • anonymous
of course. all normal rules of arithmetic work even when working with exponents.
anonymous
  • anonymous
One problem I think you did it wrong
anonymous
  • anonymous
Wait, im confused. How did oyu get 3^-3
anonymous
  • anonymous
aha i knew it. you have to raise EVERYTHING to the power of -3 because everything was in the parentheses
anonymous
  • anonymous
Ahah!
anonymous
  • anonymous
example \[(2x^3y^{-2})^{-2}\] \[=2^{-2}x^{-6}y^4\] dont forget the 2!
anonymous
  • anonymous
What about X^3 times X^-5
anonymous
  • anonymous
is it X^-15?
anonymous
  • anonymous
or X^2
anonymous
  • anonymous
*X^-2
anonymous
  • anonymous
\[x^3x^{-5}=x^{3-5}=x^{-2}=\frac{1}{x^2}\]
anonymous
  • anonymous
dont forget \[x^{-5} = \frac{1}{x^5}\] so \[x^3x^{-5}=\frac{x^3}{x^5}=\frac{1}{x^2}\]\]
anonymous
  • anonymous
in other words it makes sense to add the exponents when you multiply whether they are positive or negative.
anonymous
  • anonymous
Only multiply when its an exponent to another power right?
anonymous
  • anonymous
yup
anonymous
  • anonymous
\[b^n b^m = b^{n+m}\] \[(b^n)^m=b^{mn}\]
anonymous
  • anonymous
(-4xy^-5)/(24x^-3) How do i take the recripical of this one?
anonymous
  • anonymous
\[\frac{-4xy^{-5}}{24x^{-3}}\]
anonymous
  • anonymous
Correct
anonymous
  • anonymous
if the exponent is negative move it from down to up or from up to down. do not mess with the coefficients. they have no exponents attached.
anonymous
  • anonymous
\[\frac{-4xx^3}{24y^5}\]
anonymous
  • anonymous
now all the exponents are positive. of course you can simplify this: \[-\frac{x^4}{6y^5}\]
anonymous
  • anonymous
thanks dude

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