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\left(x^{1}\right)^{2}\times \frac{1}{9x^{2}}
Use the rules of exponents to simplify the expression.
1^{2}\left(x^{1}\right)^{2}\times \frac{1}{9}\times \frac{1}{x^{2}}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
1^{2}\times \frac{1}{9}\left(x^{1}\right)^{2}\times \frac{1}{x^{2}}
Use the Commutative Property of Multiplication.
1^{2}\times \frac{1}{9}x^{2}x^{2\left(-1\right)}
To raise a power to another power, multiply the exponents.
1^{2}\times \frac{1}{9}x^{2}x^{-2}
Multiply 2 times -1.
1^{2}\times \frac{1}{9}x^{2-2}
To multiply powers of the same base, add their exponents.
1^{2}\times \frac{1}{9}x^{0}
Add the exponents 2 and -2.
\frac{1}{9}x^{0}
Raise 9 to the power -1.
\frac{1}{9}\times 1
For any term t except 0, t^{0}=1.
\frac{1}{9}
For any term t, t\times 1=t and 1t=t.