# How do you simplify #c^3v^9c^-1c^0#?

Terms that have exponentials and the same base can have their exponentials added together, to get to

I'm assuming we are answering the question asked (with the c and v terms). In case the v was meant to be a c, I'll do that next.

Start with the original:

We can take terms with the same base and add their exponents together, like this:

In case all the terms are meant to be c terms, it'd look like:

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To simplify (c^3v^9c^{-1}c^0), we combine the like terms and apply the laws of exponents:

[c^3v^9c^{-1}c^0 = c^{3-1}v^9 = c^2v^9.]

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