Answer:
823543
Step-by-step explanation:
[tex]7^3\cdot \:7^6\cdot \:7^{-2}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]7^3\cdot \:7^6\cdot \:7^{-2}=7^{3+6-2}[/tex]
[tex]=7^{3+6-2}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:3+6-2=7[/tex]
[tex]=7^7[/tex]
[tex]7^7=823543[/tex]
Answer = 823543
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