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\left(\frac{64}{75}\times \frac{25}{4}\right)^{-2}
Reduce the fraction \frac{225}{36} to lowest terms by extracting and canceling out 9.
\left(\frac{16}{3}\right)^{-2}
Multiply \frac{64}{75} and \frac{25}{4} to get \frac{16}{3}.
\frac{9}{256}
Calculate \frac{16}{3} to the power of -2 and get \frac{9}{256}.