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B2. Laws : Division. When a number raised to a power is divided by that same number raised to another power, the result can be written simply as a single power of that number. 23 ÷ 22 = (2×2×2) ÷ (2×2) = 21 Similarly, 55 ÷ 53 = (5×5×5×5×5) ÷ (5×5×5) = 52 There is a rule here for how the indices are combined. This rule is often called The Second Law of Indices. am ÷ an = am-n Use the second law of indices to simplify the above. Press "Simplify" to get started. The first of each pair of boxes contains the number and the second contains the index. ÷ Simplifies to: