Question 58930
{{{ ((5^2c^2d^3)^-2) }}}
{{{ (1/(5^2c^2d^3)^2) }}}{Flip the expression to get rid of the negative exponent]
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{{{ (1/(5^4c^4d^6)) }}}  [Distribute the 2nd power to all of the terms]

{{{ (1/(625c^4d^6)) }}} [Simplify]