What is the difference between a base and an exponent?
An example of an AI chatbot conversation about the difference between base and exponent in mathematics.
What is the difference between a base and an exponent?
In mathematics, the base is the number that is multiplied, while the exponent indicates how many times to multiply the base by itself.
Can you give me an example?
Sure! In the expression 2^3, 2 is the base and 3 is the exponent. This means 2 is multiplied by itself 3 times: 2 * 2 * 2 = 8.
What happens if the exponent is 0?
Any non-zero number raised to the power of 0 equals 1. For example, 5^0 = 1.
Are there any special rules for negative exponents?
Yes! A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. For example, 2^-3 = 1/(2^3) = 1/8.
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