(z^-6)^5
simplify
z^-30
(z^-6)^5
z^-30
1/z^30
To simplify the expression (z^-6)^5, we'll need to apply the Laws of Exponents. According to the rule (a^m)^n = a^(m*n), we can multiply the exponents.
In this case, the exponent of z is -6 and it's being raised to the power of 5. So, we can multiply -6 by 5 to get:
-6 * 5 = -30
Therefore, the simplified expression is z^-30.