Question

What is the fifth root of 12^4

Answer 1

Remember, roots are just exponents that are 1/x.

So, square root is to the power of 1/2.

Cube root is to the power of 1/3.

Therefore, if you want the fifth root, you can put it to the power of 1/5.

\[(12^{4})^{\frac{1}{5}}\]

Answer 2

would i need a calculator to figure out the final answer?

Answer 3

Yes, you would. It would be \(12^{\frac{4}{5}}\) or \(12^{0.8}\). Definitely can't be done in your head.

Answer 4

thanks!