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\left(-7\right)^{15-6-9}
Multiply 3 and 5 to get 15.
\left(-7\right)^{9-9}
Subtract 6 from 15 to get 9.
\left(-7\right)^{0}
Subtract 9 from 9 to get 0.
1
Calculate -7 to the power of 0 and get 1.