Question

11^{8}div11^{4}=

Explanation:

Step1: Use exponent - division rule

According to the rule $a^m\div a^n=a^{m - n}$, where $a = 11$, $m = 8$ and $n = 4$. So $11^8\div11^4=11^{8 - 4}$.

Step2: Calculate the exponent

$8−4 = 4$, so $11^{8 - 4}=11^4$.

Step3: Calculate the value of $11^4$

$11^4=11\times11\times11\times11=(11\times11)\times(11\times11)=121\times121 = 14641$.

Answer:

$14641$