Question

What is the product of `(14m^2n^5)(2m^5)?`

Answer 1

`28m^7n^5`

Explanation:

This is just a simple multiplication problem, dressed up with high power exponents and multiple variables.

To solve it, we use the same properties as solving something like

`2(2xy)`

However, we must pay attention to exponents.

When multiplying with the same base (m in this case) we add the powers.

Start by multiplying `14*2 = 28`

Next, multiply by `m^5`

We have `m^2` already, so we add the powers to get `m^7`.

And since we aren't multiplying by anything that contains n, we just leave it as is in our final answer.