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

Apr 4, 2018

$28 {n}^{7}$

#### 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:
${\left(2 {n}^{3}\right)}^{2} = 4 {n}^{6}$

Now we multiply that by $7 n$:
$7 n \cdot 4 {n}^{6} = 28 {n}^{7}$

Hope this helps!

Apr 4, 2018

$28 {n}^{7}$

#### Explanation:

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