Final answer:
The expression m to the power of nine divided by r to the power of nine simplifies to (m/r) to the power of nine, applying the laws of exponents for division of like terms.
Step-by-step explanation:
The student has asked about the expression m to the power of nine divided by r to the power of 9. This expression can be simplified if we recall the laws of exponents. Specifically, when dividing like terms with exponents (assuming m and r are nonzero), you subtract the exponents. However, since the exponents are equal in this case, m9 divided by r9 simplifies to (m/r)9.
Additionally, we should clarify that the presence of multiple-choice options (A. True, B. False, etc.) in the original question does not directly pertain to this mathematical operation and seems to be irrelevant. Division of exponential terms does not result in a true or false value but rather in a simplified algebraic expression.