1) [tex]a^{7}*a^{15}=a^{7+15}=a^{22}[/tex]
2) [tex]a^{11}*a*a^{8}=a^{11+1+8}=a^{20}[/tex]
3) [tex]a^{9}:a^{5}=a^{9-5}=a^{4}[/tex]
4) [tex](a^3)^6*(a^4)^3=a^{3*6+4*3}=a^{18+12}=a^{30}[/tex]
5) [tex](a^7)^5=a^{7*5}=a^{35}[/tex]
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Answers & Comments
1) [tex]a^{7}*a^{15}=a^{7+15}=a^{22}[/tex]
2) [tex]a^{11}*a*a^{8}=a^{11+1+8}=a^{20}[/tex]
3) [tex]a^{9}:a^{5}=a^{9-5}=a^{4}[/tex]
4) [tex](a^3)^6*(a^4)^3=a^{3*6+4*3}=a^{18+12}=a^{30}[/tex]
5) [tex](a^7)^5=a^{7*5}=a^{35}[/tex]