Respuesta :
Answer:
Given the expression: [tex](4z^8)^{-3}[/tex]
Use exponent rules;
[tex](ab)^m = a^m \cdot b^m[/tex]
[tex](a^m)^n = a^{mn}[/tex]
Apply the rules in the given expression we get;
[tex](4z^8)^{-3}[/tex]
⇒[tex]4^{-3} \cdot (z^8)^{-3}[/tex]
⇒[tex]\frac{1}{4^3} \cdot z^{-24}[/tex]
⇒[tex]\frac{1}{64}z^{-24}[/tex]
Therefore, the correct Mario simplified form of the given expression is [tex]\frac{1}{64}z^{-24}[/tex]
