Question

Simplest form 5√a4/3√a2

Answer 1

A.
`a^(2/15)`

Explanation:

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

━━

`\sqrt[3]{a^2}`

1. Rewrite the following radicals with rational exponent.

`a^(4/5)`

`a^(2/3)`

2. Make both denominators equal.

4/5 * 3 = 12/15

2/3 * 5 = 10/15

3. Then subtract the two fractions

12/15 -10/15 = 2/15

Then you should get the answer of:

`a^(2/15)`

Answer 2

I'm going to assume you meant to type:

(5√a⁴)/(3√a²)

Which would then simplify as follows:

(5a²)/(3a)

5a/3