Answer:
Step-by-step explanation:
[tex]5^8\cdot \:5^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\q\:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]5^8\cdot \:5^2=5^{8+2}[/tex]
[tex]=5^{8+2}[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:8+2=10[/tex]
[tex]=5^{10}[/tex]
[tex]5^{10}=9765625[/tex]
so the answer would be [tex]=9765625[/tex]