Indices Simplification
1. The problem asks to simplify the expression $$8^{-1} \div 8^{2}$$ and leave the answer in terms of indices (exponents).
2. Recall the rule for division of powers with the same base: $$a^{m} \div a^{n} = a^{m-n}$$.
3. Here, the base is 8, and the exponents are $-1$ and $2$.
4. Apply the rule: $$8^{-1} \div 8^{2} = 8^{-1-2}$$.
5. Simplify the exponent: $$-1 - 2 = -3$$.
6. So, the simplified expression is $$8^{-3}$$.
7. This is the answer expressed in indices (exponents).