Question

Which expression is equivalent to -18a^-2b^5/-12a^-4b^-6

a. 2a^2b^11/3
b. 2a^2b^30/3
c. 3a^2b^11/2
d. 3a^2b^30/2

Answer 1

c. 3a^2b^11/2

Explanation:

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

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`(-18a^(-2)b^5)/(-12a^(-4)b^(-6))=(-18)/(-12)a^(-2-(-4))b^(5-(-6))=\boxed{(3a^2b^(11))/(2)}`