Final answer:
The question is about Mathematics, dealing with properties of exponents and quadratic equations. Specifically, it focuses on integer powers and the solutions found using the quadratic formula. The applicable concepts include Integer Powers and Cubing of Exponentials.
Step-by-step explanation:
If a, b, and c are integers such that b is a multiple of a³, this falls into the category of Mathematics, specifically involving exponents and possibly quadratic equations. When we deal with equations where b is a multiple of a³, we typically imply that b=k×a³ for some integer k. This is addressing Integer Powers and their properties.
Furthermore, when the context includes constants like a = 1.00, b = 10.0, and c = -200, we may be discussing a quadratic equation of the form at² + bt + c = 0. The solutions to this equation can be found using the quadratic formula, which is −b ± √(b² - 4×a×c) divided by 2×a. Applying this to the equation with the given constants, we can determine the values of t that satisfy the equation.
When we talk about Cubing of Exponentials, this means to cube the digit term as per usual, and if dealing with an exponential term, multiply the exponent by 3. For example, if we have 2³, this is equivalent to 2×2×2.