why the exponents can not be negative
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
They can be written as reciprocals with positive exponents. For example, 5-7 = (1/5)7
negative*negative=positive negative/positive=negative negative\negative=positve negative-positive=change the sign to a plus and then change the number after the sign and get your answer negative +positive=which ever numbr is bigger minus positive+positive=positive
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.
by doing reciprocal
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You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
why the exponents can not be negative
A negative exponent becomes positive in the reciprocal. So if you have a number a^x where x is negative, then, a^x = 1/(a^-x) and, since x is negative, -x is positive.
They are the reciprocals of the positive exponents. Thus, x-a = 1/xa
Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)
If you have 10^-3 then you can consider it the same as (1/10^3) and you have changed the negative exponent to positive exponent. Similarly, if the original number is (1/10^-3), that is equivalent to 10^3. In most cases it is as simple as taking the reciprocal.
Positive exponents: an = a*a*a*...*a where there are n (>0) lots of a. Negative exponents: a-n = 1/(a*a*a*...*a) where there are n (>0) lots of a.
Exactly that ... negative exponents. For example: 1000 = 103 That is a positive exponent. .001 = 10-3 That is a negative exponent. For positive exponents, you move the decimal place that many positions to the right, adding zeros as needed. For negative exponents, you move the decimal place that many positions to the LEFT, adding zeros as needed. And, the special case is this: 100 = 1.
They can be written as reciprocals with positive exponents. For example, 5-7 = (1/5)7
Exactly that ... negative exponents. For example: 1000 = 103 That is a positive exponent. .001 = 10-3 That is a negative exponent. For positive exponents, you move the decimal place that many positions to the right, adding zeros as needed. For negative exponents, you move the decimal place that many positions to the LEFT, adding zeros as needed. And, the special case is this: 100 = 1.