Simplify.

Please show all your work and explain.

6a^3b^2/10a^5b^4

when dividing,

(a) divide coefficients
(b) subtract exponents

So, that will be

(6/10) a^(3-5) b^(2-4)
= 3/5 a^-2 b^-2
= 3/5 1/a^2 1/b^2
=

      3
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5 a^2 b^2