Question

PLEASE HELP!!
Mario simplified the expression (4z^8)^-3 as shown.

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

Which statement explains Mario’s error?
He should have added the exponents instead of multiplying them.
He should have subtracted the exponents instead of multiplying them.
He should have applied the exponent –3 to 4, and not to z, to get 4^-3z^8 = 4^-3z^8 = z^8/64.
He should also have applied the exponent –3 to 4 to get 4^-3z^8 x (-3) = 4^-4 z^-24 = 1/64z^24.

Answer 1

Answer:

The answer to your question is the last choice

Step-by-step explanation:

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

Process

1.- Use the exponent law "Power"

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

2.- Simplify

                               $4^{-3} z^{-24}$

3.- Use the exponent law "Negative exponent"

                               $\frac{1}{4^{3} z^{24}}$

                               $\frac{1}{64z^{24}}$

4.- Conclusion    

He should have applied the exponent -3 to 4 to get   $\frac{1}{64z^{24}}$            

Answer 2

Answer:

d

Step-by-step explanation: