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Ok so \(\LARGE(\frac{12xy^32^6}{4}x^5)(y)z^{12}=?\)
@jimthompson5910?
the fist one
first
We have \(\Large \frac{12xy^3z^6}{4x^5yz^{12}}\) Let's focus on the red terms \(\Large \frac{12{\color{red}{x}}y^3z^6}{4{\color{red}{x^5}}yz^{12}}\) If we pull out those red terms, then, \(\large \frac{x}{x^5} = \frac{x}{x*x^4} = \frac{\cancel{x}}{\cancel{x}*x^4}= \frac{1}{x^4}\) Do the same thing for the y terms, and the z terms as well. So you'll focus on each variable one at a time.
Also, you'll simplify the leading coefficients by saying \(\large \frac{12}{4} = \frac{4*3}{4} = \frac{\cancel{4}*3}{\cancel{4}} = \frac{3}{1} = 3\)
so the 3erd one
Choice C is correct We could have the steps look like this \(\Large \frac{12xy^3z^6}{4x^5yz^{12}}\) \(\Large \frac{12}{4}*\frac{x}{x^5}*\frac{y^3}{y}*\frac{z^6}{z^{12}}\) \(\large 3*x^{1-5}*y^{3-1}*z^{6-12}\) \(\large 3*x^{-4}*y^{2}*z^{-6}\) \(\Large \frac{3y^2}{x^4z^6}\)
In the third step, I used the rule \(\Large \frac{a^b}{a^c} =a^{b-c}\)
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