# How do you simplify #2a^3*2a^4# and write it using only positive exponents?

##### 1 Answer

Jan 24, 2017

First, multiply the coefficients (the number parts), then multiply the powers. The result is

#### Explanation:

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