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\left(7z^{0}\right)^{-5}
Use the rules of exponents to simplify the expression.
7^{-5}\left(z^{0}\right)^{-5}
To raise the product of two or more numbers to a power, raise each number to the power and take their product.
\frac{1}{16807}\left(z^{0}\right)^{-5}
Raise 7 to the power -5.
\frac{1}{16807}
For any number a except 0, a^{0}=1.