hi can someone please help me simplify (3ab^2c)(c^6)? Thanks
Multiply the terms together.
$\displaystyle (3ab^2c)(c^6)=3ab^2{\color{red}c\cdot c^6}$
All you really need to do is get one $\displaystyle c$ term in the expression.
What is $\displaystyle c\times c^6$?
Recall that when you multiply two exponential expressions together, you can add the exponents if and only if they have the same base:
$\displaystyle x^a\times x^b=x^{a+b}$
Try to take it from here.
--Chris
$\displaystyle 3,~a,~\text{and }b^2$ 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 $\displaystyle c$ and $\displaystyle c^6$
Division follows the same kind of idea. But addition and subtraction follow different rules.
I hope this clarifies things.
--Chris