Answer:
The expression in the form [tex]7^n[/tex]
[tex]7^2\times \:\:7^6=7^n[/tex]
Step-by-step explanation:
[tex]7^2\:\times \:7^6[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]
[tex]7^2\times \:7^6=7^{2+6}[/tex]
So the expression becomes
[tex]7^2\:\times \:7^6=7^{2+6}[/tex]
[tex]=7^{2+6}[/tex]
Add the numbers: 2+6=8
[tex]=7^8[/tex]
Therefore, the expression in the form [tex]7^n[/tex]
[tex]7^2\times \:\:7^6=7^8[/tex]