Question

How do you simplify (4m)^5

Answer 1

Hi! I'm happy to help!

To first solve this, we need to know what is going on. In the order of operations, everything inside of the parenthesis happens first. Since 4 and m are being multiplied inside of the parenthesis, that would happen before being moved to the fifth power. Since m is unknown, we make everything inside of the parenthesis to the fifth power, and make sure they are multiplied together as they are inside of the parenthesis. (Everything inside of the parenthesis applies to the raising to the fifth power.)

`4^(5)`·
`m^(5)`

From here, we can simplify
`4^(5)` to 1024.

1024·
`m^(5)`

We don't need the multiplication sign because it is a variable.

1024
`m^(5)`

Since we cannot simplify m, this is our most simplified form: 1024
`m^(5)`

I hope this was helpful, keep learning! :D