Final answer:
Without further context, none of the provided options are equivalent to the expression 3 * 64a^6b^7c^9 as none simplify to 192a^6b^7c^9. More information or specific values for variables a, b, and c are required.
Step-by-step explanation:
The student asked which expression is equivalent to 3 * 64a^6b^7c^9. To find an equivalent expression, we can simplify and manipulate the given expression using algebraic rules. The expressions provided as options are not straightforward to compare without additional context or values for a, b, and c. However, since none of the options a), b), c), and d) simplify directly to 3 * 64a^6b^7c^9 or 192a^6b^7c^9 when using the properties of exponents, none appear to be equivalent based on the information provided. If any of the options had a variable raised to these exact powers and multiplied by 192, it could be considered equivalent. More context or specific values for a, b, and c would be needed to definitively solve the question.