Question

What is the expression in radical form? (20)^5/2

Enter your answer, in simplest form, in the box.

Answer 1

800√5

Explanation:

Answer 2

For this case we have the following expression:

`(20)^(5/2)`
What you should keep in mind is the following:
1) The numerator of the exponent represents the number for which the base is elevated.
2) The denominator of the exponent represents the index of the root.
Therefore, by rewriting the expression we have:

`√(20^5)`
Then, for power properties we have:

`√(20^420)`

`20^2√(20)`

`400√(20)`

`400√(4*5)`

`2*400√(5)`

`800√(5)`
Answer:
the expression in radical form is:

`800√(5)`