1. ## simplify algebraic

2. Originally Posted by gogegalgo
Multiply the terms together.

$(3ab^2c)(c^6)=3ab^2{\color{red}c\cdot c^6}$

All you really need to do is get one $c$ term in the expression.

What is $c\times c^6$?

Recall that when you multiply two exponential expressions together, you can add the exponents if and only if they have the same base:

$x^a\times x^b=x^{a+b}$

Try to take it from here.

--Chris

3. thanks for the reply but just to clarify: when multiplying terms like that you only combine the like terms, right? as in, the c^6 only gets combined to the c, not the 3, a, or b^2? or is the whole thing (3ab^2c) one term?

4. Originally Posted by gogegalgo
thanks for the reply but just to clarify: when multiplying terms like that you only combine the like terms, right? as in, the c^6 only gets combined to the c, not the 3, a, or b^2? or is the whole thing (3ab^2c) one term?
$3,~a,~\text{and }b^2$ are individual terms that make up a larger term.

So when you multiply the expressions together, you combine like terms.

So in this case, it was just $c$ and $c^6$

Division follows the same kind of idea. But addition and subtraction follow different rules.

I hope this clarifies things.

--Chris