I'm going to assume you meant to type:
(5√a⁴)/(3√a²)
Which would then simplify as follows:
(5a²)/(3a)
5a/3
Answer:
A. [tex]a^{2/15}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{a^4}[/tex]
━━
[tex]\sqrt[3]{a^2}[/tex]
1. Rewrite the following radicals with rational exponent.
[tex]a^{4/5}[/tex]
[tex]a^{2/3}[/tex]
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:
[tex]a^{2/15}[/tex]
