Answer:
[tex]5^\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:
[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]
The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]
We can use the same property to get:
[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]
which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions
