Question
A positive exponent is usually large or small
Answers
GPT-4o mini
A positive exponent can represent both large and small numbers, depending on the base being raised to that exponent.
- If the base is greater than 1 and the exponent is large, the result will be a large number (e.g., \(10^6 = 1,000,000\)).
- If the base is a fraction between 0 and 1 and the exponent is positive, the result will be a small number (e.g., \((\frac{1}{10})^2 = \frac{1}{100} = 0.01\)).
So, whether a positive exponent results in a large or small number depends on the base used.
- If the base is greater than 1 and the exponent is large, the result will be a large number (e.g., \(10^6 = 1,000,000\)).
- If the base is a fraction between 0 and 1 and the exponent is positive, the result will be a small number (e.g., \((\frac{1}{10})^2 = \frac{1}{100} = 0.01\)).
So, whether a positive exponent results in a large or small number depends on the base used.