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\frac{x^{1}y^{1}}{x^{1}y^{1}}
Use the rules of exponents to simplify the expression.
x^{1-1}y^{1-1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
x^{0}y^{1-1}
Subtract 1 from 1.
x^{0}y^{0}
Subtract 1 from 1.
1
For any number a except 0, a^{0}=1.