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\frac{1}{1000^{10}}
Use the rules of exponents to simplify the expression.
1000^{10\left(-1\right)}
To raise a power to another power, multiply the exponents.
1000^{-10}
Multiply 10 times -1.
\frac{1}{1000000000000000000000000000000}
Raise 1000 to the power -10.