How do you simplify #2a^3*2a^4# and write it using only positive exponents?
First, multiply the coefficients (the number parts), then multiply the powers. The result is
Since multiplication is commutative, it does not matter in what order we do the mutiplications. Se, we are free to multiply the two numbers, and then work on the exponents:
When you multiply two powers that have the same base (the
So, altogether, it is
Here's why it works
The first bracket is an expanded form of