To solve your question, we need to clarify what type of equation or context is being referred to, as there appears to be a set of numbers rather than an explicit equation provided. If we assume these numbers represent a pattern involving exponents, it would help to analyze the relationships between them.
Given the numbers:
- \( 210 \)
- \( 510 \)
- \( -210 \)
- \( -510 \)
- \( \frac{1}{210} \)
- \( -\frac{1}{510} \)
It's important to look for any relationships or patterns based on the context of exponents or simplifications.
If these are meant to represent powers of some base, we can make various assumptions. However, without a clear mathematical operation or relation indicated (for example, if they are outputs of a function or part of a series), it is challenging to determine what is specifically requested by “the missing exponent”.
Please provide any additional context or clarify the question to assist further with understanding what exactly you're looking for regarding the missing exponent.