Answer:
Option D.
Step-by-step explanation:
To raise a product to an exponent, you must raise each factor of the product to the exponent. The product being raised to an exponent is 4z^8. This product is being raised to the -3 power. To raise it to the -3 power, you must raise each factor of the product to the -3 power.
(4z^8)^-3 = 4^-3 * (z^8)^-3.
4 must be raised to the -3 power, and z^8 must also be raised to the -3 power.
