Question 30728
{{{ (2b^4c^3)(3a^2b^-2)(2b^4)(c^3)(3a^2)(b^-2) }}} Assuming this is what you were trying to convey ....
multiply out all the numbers first... then a, then b, then c.  remember to add the exponents.
{{{ (2b^4c^3)(3a^2b^-2)(2b^4)(c^3)(3a^2)(b^-2) }}}
{{{ 2*3*2*3 = 36 }}}
{{{ a^2a^2 = a^4 }}}
{{{ b^4b^-2b^4b^-2 = b^4 }}}
{{{ c^3 }}}
bring these pieces back together.
{{{ 36a^4b^4c^3 }}}