We have to find the value of the expression [tex] 9^{8}\div 9^{n} [/tex] for n=4.
Let us consider the expression.
[tex] 9^{8}\div 9^{n} [/tex]
By using the law of exponent, [tex] a^{m}\div a^{n}=a^{m-n} [/tex]
We get,
= [tex] =9^{8-n} [/tex]
Putting the value n=4, we get
= [tex] =9^{8-4} [/tex]
= [tex] 9^{4} [/tex]
= 6561
So, 6561 is the value of given expression for n=4.
