Question

How do you simplify `7n(2n^3)^2`?

Answer 1

`28n^7`

Explanation:

Using PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction) for the order in which you solve mathematical expressions, we can simplify this expression.

First, we simplify the exponent:
`(2n^3)^2 = 4n^6`

Now we multiply that by `7n`:
`7n * 4n^6 = 28n^7`

Hope this helps!

Answer 2

`28n^7`

Explanation:

first simplify what is in the parentheses,
`(2n^3)^2`
square each term, `2^2 and (n^3)^2`
remember when you put an exponent to another power you multiply them
so you end up with
`4n^6`
now all you have to do is multiply 7n (`4n^6`)
you get `28n^7`