Final answer:
The expression 216⁻x-1 conversion to base 6 is unclear due to the lack of standard form or context. Converting to a different base typically involves using logarithms or exponent rules, yet a clear mathematical expression is required for the process.
Step-by-step explanation:
To convert the expression 216⁻x-1 into a number with a base of 6, we need to manipulate the expression to represent it in base 6.
The given expression is not in a standard form and lacks clear operators, making the conversion to base 6 unclear without additional context.
However, if the intention is to understand how to work with exponents and convert to a different base, this would generally involve understanding the relationship between the numbers involved and using logarithms or exponent rules for conversion.
For example, if we had an expression like 2x where x is an exponent and we wanted to express it in base 6, we would use the fact that 2 is 6° since any number to the power of 0 is 1. Furthermore, for numbers that are not powers of 6 directly, you'd have to express them in terms of powers of 6, possibly involving fractions or decimals. This process would require a clear mathematical expression to proceed with the conversion.