Question 75660
{{{(2m^3x^2)^-1 (3m^4x)^-3/(m^2x^3)^-3 (m^2x)^-5}}}
You only missed the negative sign on the exponent in the denominator.
Now, to solve it is easiest to deal with the negative exponents first.  Anything that has a negative exponent jumps to the other side of the fraction and the exponent becomes positive.
For instance ...
{{{ (7x^-3)/(-4y^-7) }}}
now looks like ...
{{{ (7y^7)/(-4x^3) }}}
So, the problem you posed would now look like ....
{{{ (m^2x^3)^3 (m^2x)^5 / (2m^3x^2)^1 (3m^4x)^3 }}}
Now deal with the exponents by applying the power to power. (multiply the exponents)
{{{ (m^6x^9)(m^10x^5) / (2m^3x^2) (3^3m^12x^3) }}}
Combine like terms in the numerator
{{{ (m^16x^14) / (2m^3x^2) (3^3m^12x^3) }}}
Work the coefficients in the denominator and combine like terms
{{{ (m^16x^14) / (54m^15x^5) }}}
reduce the fraction by dividing (subtract powers)
{{{ (mx^9)/54 }}}