Why Do the Negative Exponent Rules Work

The video tutorial explains the rules for adding and subtracting exponents when multiplying and dividing monomials. It provides examples to illustrate these rules, including how to handle negative exponents by converting them to positive exponents. The tutorial emphasizes that negative exponents should be rewritten as positive by placing them in the denominator or numerator as needed.

When multiplying monomials, what operation is performed on the exponents?

• They are multiplied.

• They are added.

• They remain unchanged.

• They are subtracted.

What is the result of dividing X^3 by X^1?

• X^1

• X^2

• X^0

• X^4

What happens when you subtract a larger exponent from a smaller one?

• You get a negative exponent.

• You get an undefined result.

• You get a zero exponent.

• You get a positive exponent.

How can a negative exponent be expressed as a positive exponent?

• By subtracting 1 from the exponent.

• By multiplying by zero.

• By adding 1 to the exponent.

• By placing it in the denominator.

If X^-3 is given, how can it be rewritten to have a positive exponent?

• 1/X^3

• X^0

• 3X

• X^3