One noticeable difference between negative and positive exponents is that when a number is raised to a positive exponent, the value of the number increases as the exponent increases. For example, if we have 2^3, the value is 2*2*2 = 8. As the exponent increases, the value of the number also increases.
On the other hand, when a number is raised to a negative exponent, the value decreases as the exponent increases. For example, if we have 2^-3, the value is 1/(2*2*2) = 1/8. As the exponent becomes more negative, the value of the number becomes smaller.
Another difference is that when a number is raised to a positive exponent, the result is always positive. However, when a number is raised to a negative exponent, the result is always a fraction or decimal, which could be positive or negative depending on the sign of the base number.
What do you notice between the negatives and the positive exponents?
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