To simplify the expression \( \frac{227^8}{227^6} \), you can use the rule of exponents which states that when dividing two powers with the same base, you subtract the exponents:
\[ \frac{a^m}{a^n} = a^{m-n} \]
In this case, \( m = 8 \) and \( n = 6 \):
\[ \frac{227^8}{227^6} = 227^{8-6} = 227^2 \]
Thus, the simplified expression is:
\[ 227^2 \]
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