Answer:
[tex]a^{\frac{15}{2} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
([tex]a^{\frac{1}{2} }[/tex] × a)^5
= [tex](a^{\frac{1}{2}+1) }[/tex]^5
= [tex](a^{\frac{3}{2}) } ^{5}[/tex]
= [tex]a^{\frac{15}{2} }[/tex]
