How do you multiply #a^ { - 2} b ^ { - 2} \cdot - 3a ^ { - 2} b ^ { - 4} c ^ { - 1}#?

1 Answer

#-3/(a^4b^6c)#

Explanation:

We have:

#a^-2b^-2 xx -3a^-2b^-4c^-1#

These are all multiplication operations, including the negative sign, so I'm going to rewrite this to make the terms easier to work with and be more clear:

#(-1)(3)a^-2a^-2b^-2b^-4c^-1#

and now let's combine the terms:

#(-3)a^(-2-2)b^(-2-4)c^-1#

#(-3)a^(-4)b^(-6)c^-1#

and lastly let's express this as a fraction, keeping in mind that #x^-1=1/x#

#-3/(a^4b^6c)#