Answer:
13√x
Step-by-step explanation:
1. The expression given is √x^13. This means we have the square root of x raised to the power of 13.
2. When we have a radical with an exponent inside, we can simplify it by dividing the exponent by the index of the radical. In this case, the index is 2 since it's a square root.
3. So, 13 divided by 2 is equal to 6 with a remainder of 1. This means we can take out x to the power of 6 from under the square root and leave x to the power of 1 inside the square root.
4. Therefore, the simplified form of √x^13 is x^6√x or 6x√x.
5. Therefore, the correct answer among the choices given is 13√x.
