Final answer:
To simplify (-4y²z⁻⁵)³ and write the answer using positive exponents, cubing each component and multiplying the exponents by 3 gives the simplified expression -64y⁶z⁻¹⁵.
Step-by-step explanation:
To simplify (-4y²z⁻⁵)³ and write the answer using positive exponents, we need to cube each component of the expression and multiply the exponents by 3.
-4³ = -64
y²³ = y⁶
z⁻⁵³ = z⁻¹⁵
So, the simplified expression is -64y⁶z⁻¹⁵.