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\frac{1}{7^{-3}}
To multiply powers of the same base, add their exponents. Add 1 and -4 to get -3.
\frac{1}{\frac{1}{343}}
Calculate 7 to the power of -3 and get \frac{1}{343}.
1\times 343
Divide 1 by \frac{1}{343} by multiplying 1 by the reciprocal of \frac{1}{343}.
343
Multiply 1 and 343 to get 343.