Subjects algebra

Indices Division

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Indices Division


1. We are asked to simplify the expression $$8^{-1} / 8^{2}$$ and leave the answer in indices (exponents). 2. Recall the law of exponents for division: $$\frac{a^{m}}{a^{n}} = a^{m-n}$$ where the base is the same. 3. Applying this law to our problem: $$8^{-1} / 8^{2} = 8^{-1 - 2}$$ 4. Simplify the exponent: $$-1 - 2 = -3$$ 5. So, the expression simplifies to $$8^{-3}$$. 6. The final answer in indices is $$8^{-3}$$.