# Can You Have A Negative Exponent In The Denominator We can still use the quotient rule if we have a negative exponent in the numerator a negative exponent in the denominator or both.

## Can you have a negative exponent in the denominator That is we will want the following rules to hold for any exponents.

Can you have a negative exponent in the denominator. Once you ve learned about negative numbers you can also learn about negative powers. A negative exponent tells us to take the reciprocal. Now that you ve learned to work with negative exponents it s time for the powers that have the minus sign at the base. 5 4 3 5 4 3.

A negative exponent just means that the base is on the wrong side of the fraction line so you need to flip the base to the other side. We are now going to extend the meaning of an exponent to more than just a positive integer. A fraction represents part of a whole. Negative exponents in the denominator get moved to the numerator and become positive exponents.

So when there is a base with a negative exponent in the denominator you just need to move that base to the numerator and switch the exponent back to positive. For instance x 2 pronounced as ecks to the minus two just means x 2 but underneath as in. Apply the product rule. The negative exponent causes the base to switch positions.

Positive negative 0 even fractions. When they are in the denominator they are equivalent to positive exponents in the numerator of a fraction. You can have negative exponents anywhere. Rewrite the expression by moving the factor with a negative exponent to the numerator or denomi.

If a fraction has a negative number as its denominator it s easy to convert it into a positive. Note that the order in which things are moved does not matter. We will do that in such a way that the usual rules of exponents will hold. Only move the negative exponents.