Question

Mario simplified the expression (4z^8)^-3 as shown (4z^8)^-3 = 4z^-24= 4/z24

Answer 1

Multiply each term by term.  

= (4z)(z) - (4z)(2) + (3)(z) + (3)(-2)  

= 4z² - 8z + 3z - 6  

Combine like terms.  

= 4z² - 5z - 6

Answer 2

Answer:

Given the expression:  $(4z^8)^{-3}$

Use exponent rules;

$(ab)^m = a^m \cdot b^m$

$(a^m)^n = a^{mn}$

Apply the rules in the given expression we get;

$(4z^8)^{-3}$

⇒$4^{-3} \cdot (z^8)^{-3}$

⇒$\frac{1}{4^3} \cdot z^{-24}$

⇒$\frac{1}{64}z^{-24}$

Therefore, the correct  Mario simplified form of the given expression is $\frac{1}{64}z^{-24}$