To simplify this expression, we can use the rule of exponents that states: a^m * a^n = a^(m+n).
Therefore, 7^(-11) * 7^13 = 7^(-11+13).
Simplifying the exponent, we get 7^2.
Therefore, 7^-11 * 7^13 = 7^2.
The result is 49.
7^-11x7^13
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