Q: Can you have negative exponents in the denominator?

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Put the number with the exponent in the denominator of a fraction and take off the negative symbol. The numerator in that fraction should be 1. Example: 8-2 Converts to: 1 --- 82

by doing reciprocal

If the numerator is negative and the denominator is positive then the fraction will be negative. If the numerator is negative and the denominator is negative too then the fraction will be positive.

First: You don't want any negative exponents. I'll give two examples- 5^-2 / 5^2. What you would do is switch the negative exponent to the other side, changing the negative exponent to a positive, and if there's nothing there, replace it with a one. So, now you have 1/ 5^2 * 5^2. Simplify 1/ 25 * 25 1/625. There's your answer. With variables: x^2 / y^-3. Switch the negative to a positive, placing it on the other side. Since the denominator becomes one and all you have are numerators, the denominator isn't needed (but you can still use it while learning the concept). x^2 * y^3. A fully simplified answer. I hope this helps!

They are the reciprocals of the positive exponents. Thus, x-a = 1/xa

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You look at the denominator first. Then you try to find out what exponents make the denominator. After doing that, you add a negative symbol to the smaller number on the exponent.

Put the number with the exponent in the denominator of a fraction and take off the negative symbol. The numerator in that fraction should be 1. Example: 8-2 Converts to: 1 --- 82

Make it a fraction, flip the numerator and denominator, and the exponent is no long negative. For example 4-3 = 1/43 = 1/64

Variable exponents.

Change the number or variable with the exponent from the numerator to the denominator, or from the denominator to the numerator, and at the same time change the exponent from negative to positive. For example, 5-3 = 1/53, and 1/x-10 = x10.

Negative exponents are used to represent 1 divided by an a base to a specific exponent.

Any value to the zero power is 1. If an exponent is negative, you need to switch it from the numerator to the denominator or vice-versa. For example, x-2 is 1/x2.

why the exponents can not be negative

When multiplying numbers with exponents, you add the exponents.

by doing reciprocal

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If the numerator is negative and the denominator is positive then the fraction will be negative. If the numerator is negative and the denominator is negative too then the fraction will be positive.