Question

Mario simplified the expression (4z^8)^-3 as shown

(4z^8)^-3 = 4z^-24= 4/z24

Answer 1

D

Explanation:

Edge

Answer 2

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)`

⇒
`(1)/(4^3) \cdot z^(-24)`

⇒
`(1)/(64)z^(-24)`

Therefore, the correct Mario simplified form of the given expression is
`(1)/(64)z^(-24)`