#maths
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- Опубліковано 14 жов 2024
- #maths #exponents and power #education Exponents and powers are mathematical operations that involve raising a number to a certain power or exponent. Here are some key concepts and examples:
Exponent:
An exponent is a small number that is raised to a power, usually written as a superscript (e.g., 2^3)
Exponents can be positive, negative, or zero
Power:
A power is the result of raising a number to an exponent (e.g., 2^3 = 8)
Powers can be calculated using the formula: base ^ exponent = result (e.g., 2 ^ 3 = 8)
Types of Exponents:
Positive Exponents: 2^3, 3^4, etc.
Negative Exponents: 2^-3, 3^-4, etc. (equivalent to 1/2^3, 1/3^4, etc.)
Zero Exponents: 2^0, 3^0, etc. (always equals 1)
Laws of Exponents:
Product of Powers: a^m * a^n = a^(m+n)
Power of a Power: (a^m)^n = a^(m*n)
Power of a Product: (ab)^m = a^m * b^m
Examples:
2^3 = 8 (2 to the power of 3)
3^2 = 9 (3 to the power of 2)
4^-2 = 1/16 (4 to the power of -2)
(2^2)^3 = 2^(2*3) = 2^6 = 64
I hope this helps! Let me know if you have any specific questions or need further clarification.