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that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents.

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To divide exponents (or powers) with the same base, subtract the exponents.  Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

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The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For example, if 6 has the power of 2 and we multiply is by 6 to the power of 3, we get 6 to the power of 5.