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\left(2^{1}\times 7\right)^{-1}
To multiply powers of the same base, add their exponents. Add -1 and 2 to get 1.
\left(2\times 7\right)^{-1}
Calculate 2 to the power of 1 and get 2.
14^{-1}
Multiply 2 and 7 to get 14.
\frac{1}{14}
Calculate 14 to the power of -1 and get \frac{1}{14}.