Simplify 3^-9 / 3^-12

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Simplify 3^-9 / 3^-12

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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answers: 3^3 3^21 1/3^21 1/3^3
do you know the rule:\[x^a/x^b=x^{a-b}\]
nope sure dont

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what have you been taught about indexes?
nothing at all that i can recall
no pun intended
so how do they expect you to solve this? have you been told to use any specific method?
i think we have i just dont remember
well at the very least you need to know the rules of index multiplication and division.
prolly do just dont remember what they are
e.g. the rule I just showed you can be proved with following example:\[\frac{x^5}{x^3}=\frac{x*x*x*x*x}{x*x*x}=x*x=x^2\]
oooo thtz right i remember now thx
so in your case,\[3^{-9}/3^{-12}=3^{-9-(-12)}=3^{-9+12}=3^3\]
yup i got it thanks alot
yw

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