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One of the most common laws of exponents is a^x * a^y = a^x+y. This is illustrated in 2^2 * 2^2 = 4*4 = 16 = 2^4. Another one is a^x / a^y = a^x-y. This is illustrated with 2^5 / 2^2 = 32/4 = 8 = 2^3.

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