Question

1. How can you write 5/n4 using rational exponents?

Answer 1

9514 1404 393

Answer:

`{n^(4)/(5)`

Explanation:

The expression you show evaluates to (5/n)(4) = 20/n. Since you're referring to rational exponents, we assume you want to rewrite ...

`\sqrt[5]{n^4}`

A root index is the same as a fractional exponent with that index in the denominator. Then this expression is rewritten as ...

`\sqrt[5]{n^4}=(n^4)^{(1)/(5)}=\boxed{n^{(4)/(5)}}`