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\left(x^{1}\right)^{0}\times \frac{1}{3x^{0}}
Use the rules of exponents to simplify the expression.
1^{0}\left(x^{1}\right)^{0}\times \frac{1}{3}\times \frac{1}{x^{0}}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
1^{0}\times \frac{1}{3}\left(x^{1}\right)^{0}\times \frac{1}{x^{0}}
Use the Commutative Property of Multiplication.
1^{0}\times \frac{1}{3}x^{0}x^{0}
To raise a power to another power, multiply the exponents.
1^{0}\times \frac{1}{3}x^{0}
To multiply powers of the same base, add their exponents.
\frac{1}{3}x^{0}
Raise 3 to the power -1.
\frac{1}{3}\times 1
For any term t except 0, t^{0}=1.
\frac{1}{3}
For any term t, t\times 1=t and 1t=t.