Respuesta :

Answer:

a^ (5/2)

Step-by-step explanation:

a^5 ÷ a ^ (5/2)

We know that x^b ÷ x^c = x^ ( b-c)

a^ ( 5 - 5/2)

a^ ( 10/2 - 5/2)

a^ (5/2)

Answer:

[tex]a^{\frac{5}{2} }[/tex]

Step-by-step explanation:

Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]

So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].

[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]

So [tex]a^{\frac{5}{2}}[/tex].

Hope this helped!