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\left(-x\right)^{201}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -100 from 101 to get 201.
\left(-1\right)^{201}x^{201}
Expand \left(-x\right)^{201}.
-x^{201}
Calculate -1 to the power of 201 and get -1.
\left(-x\right)^{201}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -100 from 101 to get 201.
\left(-1\right)^{201}x^{201}
Expand \left(-x\right)^{201}.
-x^{201}
Calculate -1 to the power of 201 and get -1.