Question

How do you simplify `(5n^{4})^{4}`?

Answer 1

`625n^16`

Explanation:

When you raise a whole expression, `x^n`, to a power, you are effectively multiplying it by itself by `n` number of times. A common mistake in this process is to add four to the `n` but this is not correct. You, by raising `5n^4` to the fourth power, are doing this:

`(5n^4)(5n^4)(5n^4)(5n^4)`

From here its fairly simple, you just multiply 5 by itself 4 times and `n^4` by itself 4 times.

From this you should get

`5^4*n^(4*4)=625n^16`