I got this half wrong on a test but it confuses me still...a step by step on how you got the answer will get you 10pts fast!! Thanks!
(18xy^-6z^2 //////////////// 3x^-3y^-4z^0) ^-3
The entire thing in parenthesis is raised to the -3. I get when you move exponents to the top or bottom when they're negative, but it's the z^0 that confuses me.
(18xy^-6z^2 //////////////// 3x^-3y^-4z^0) ^-3
The entire thing in parenthesis is raised to the -3. I get when you move exponents to the top or bottom when they're negative, but it's the z^0 that confuses me.
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divide the whole numbers to simplify:
18/3 is 6
then divide the variables separately
on top you have x^1 and on bottom x^-3 so 1- (-3) is 4, that's x^4
on top you have y^-6 and on bottom y^-4 so -6 - (-4) is -2, that's y^-2
on top you have z^2 and on bottom z^0 so 2-0 is 2 so that's z^2
the problem is now ((6x^4)(y^-2)(z^2))^-3
multiply the exponent -3 through
(6^-3)(x^-12)(y^6)(z^-6)
(y^6)/(216x^12 z^6)
18/3 is 6
then divide the variables separately
on top you have x^1 and on bottom x^-3 so 1- (-3) is 4, that's x^4
on top you have y^-6 and on bottom y^-4 so -6 - (-4) is -2, that's y^-2
on top you have z^2 and on bottom z^0 so 2-0 is 2 so that's z^2
the problem is now ((6x^4)(y^-2)(z^2))^-3
multiply the exponent -3 through
(6^-3)(x^-12)(y^6)(z^-6)
(y^6)/(216x^12 z^6)