Dividing exponents is just subtracting the numerator exponent and the denominator exponent. For example, 3^4 / 3^2 = 3^2. *The division sign is just like a giant subtraction sign** That will help you to remember this rule.
So how about x^12 / x^5? its x^7!
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The same way you divide positive exponents like ( x^-7 ) / ( x^-12) = x^( -7 - - 12) = x^( -7+12) = x^5
If it's (x^2)/x then the answer is x.
Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent
To multiply powers with the same base, you add the exponents. For example, 10^2 x 10^3 = 10^5. Similarly, to divide powers with the same base, you subtract the exponents. For example, 10^3 / 10^5 = 10^(-2).
You multiply the exponents.