Final answer:
To write -0.008b⁶ as the square of a monomial, we can rewrite it as (-0.08b³)², which simplifies to 0.0064b⁶.
Step-by-step explanation:
To write the expression -0.008b⁶ as the square of a monomial, we need to determine the monomial that, when squared, equals -0.008b⁶.
We can rewrite -0.008b⁶ as (-0.08b³)². So, the square of the monomial that represents -0.008b⁶ is (-0.08b³)².
The expression (-0.08b³)² can be expanded as (-0.08)²(b³)², which simplifies to 0.0064b⁶.