Question

Simplify.
cuberoot(125n^12)

Answer 1

\[\sqrt[3]{125n^{12}}\]

Answer 2

the a should be a 3

Answer 3

What's another way you could write this using a fractional exponent?

Answer 4

i have no clue.

Answer 5

How about this:\[(125n^{12})^\frac{1}{3} \]

Answer 6

Now using rules of exponents, what should you get for n^12 raised to the 1/3?

Answer 7

And for 125, actually.

Answer 8

The rule for exponents is that you multiply, so now you have \[125^\frac{1}{3}*(n^{12})^\frac{1}{3}\]

Answer 9

Oh ok, so then i would have 5n^4?

Answer 10

Bingo! :)

Answer 11

Awesome, thanks!

Answer 12

Happy to help.