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David Severin. 2 years ago. The rule for dividing same bases is x^a/x^b=x^ (a-b), so with dividing same bases you subtract the exponents. In the case of the 12s, you subtract -7- (-5), so two negatives in a row create a positive answer which is where the +5 comes from. In the x case, the exponent is positive, so applying the rule gives x^ (-20-5).The answer is one. When a number or variable has an exponent of zero. You must change it to the reciprocal (Ex: a^-2 = 1/a^2) When a number or variable has an exponent that is negative. You MUST change the exponent sign. When you do the reciprocal. You add the exponents. When an two exponents have the same base. It can be put in root form.

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