Thank you for the opportunity to help you with your question!

Thank you for the opportunity to help you with your question!

Dividing numbers with the same base (expressions):

Subtraction rule: When dividing the expressions with the same base, write the base one time with the exponent as the subtraction of the exponent of the expression in the denominator from the exponent of the expression in the numerator.

example: x^6/x^4 = x^(6-4) = x^2

To simplify this division:

x^6/x^4 = x*x*x*x*x*x/x*x*x*x = x*x = x^2

Also the exponent with a negative sign can be written in its reciprocal form with the positive exponent.

example: x^4/x^6 = x^(4-6) = x^(-2) = 1/x^2

Please let me know if you need any clarification. I'm always happy to answer your questions.Please let me know if you need any clarification. I'm always happy to answer your questions.