The equivalent expression of the rational expression (z^-3/z^2)^4 is z^-20
The expression is given as:
(z^-3/z^2)^4
Apply the law of indices:
(z^-3/z^2)^4 = (z^(-3-2))^4
Evaluate the difference
(z^-3/z^2)^4 = (z^(-5))^4
Remove the bracket
(z^-3/z^2)^4 = z^(-5*4)
Evaluate the product
(z^-3/z^2)^4 = z^-20
Hence, the equivalent expression of (z^-3/z^2)^4 is z^-20
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