Simplify:
$(\frac{3}{5})^4 \times (\frac{3}{5})^{-12} \times (\frac{3}{5})^{6}$

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(25/9) To simplify the expression $(\frac{3}{5})^4 \times (\frac{3}{5})^{-12} \times (\frac{3}{5})^{6}$,we use the law of exponents: $a^m \times a^n \times a^p = a^{m+n+p}$.
Here,the base $a = \frac{3}{5}$,$m = 4$,$n = -12$,and $p = 6$.
Applying the rule: $(\frac{3}{5})^{4 + (-12) + 6}$.
Calculating the exponent: $4 - 12 + 6 = -2$.
So,the expression becomes $(\frac{3}{5})^{-2}$.
Using the rule $a^{-n} = (\frac{1}{a})^n$,we get $(\frac{5}{3})^2$.
Calculating the final value: $(\frac{5}{3})^2 = \frac{25}{9}$.

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