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\left(x^{2}\right)^{3}\times \frac{1}{x^{6}}
Use the rules of exponents to simplify the expression.
x^{2\times 3}x^{6\left(-1\right)}
To raise a power to another power, multiply the exponents.
x^{6}x^{6\left(-1\right)}
Multiply 2 times 3.
x^{6}x^{-6}
Multiply 6 times -1.
x^{6-6}
To multiply powers of the same base, add their exponents.
x^{0}
Add the exponents 6 and -6.
1
For any term t except 0, t^{0}=1.