Answer
$\frac{49}{36c^{2}}$
Work Step by Step
The given expression is
$=(\frac{6c}{7})^{-2}$
Use the power of a quotient property.
$=\frac{(6c)^{-2}}{(7)^{-2}}$
Use the power of a product property.
$=\frac{(6)^{-2}(c)^{-2}}{(7)^{-2}}$
Use the definition of negative exponent.
$=\frac{(7)^{2}}{(6)^{2}(c)^{2}}$
Simplify.
$=\frac{49}{36c^{2}}$
