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

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Answer 1 · 2016-05-25T13:55:26

Terms that have exponentials and the same base can have their exponentials added together, to get to
#c^2v^9#

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:

#c^3v^9c^-1c^0#

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

#c^(3-1+0)v^9#

#c^2v^9#

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

#c^(3+9-1+0)#

#c^11#