Hello! I am currently reviewing exponents. Could someone please help me review them? (This isn't actually part of my school course, I'm doing it for myself, so there is no sources I know of.) Thank you!
Also, how do you type an exponent on keyboard? Thanks!
Use ^ for exponents online.
General lessons are not a good fit for this forum.
google and youtube can provide many discussions and examples.
All students should make good use of https://www.khanacademy.org
For example,
https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-exponents/v/introduction-to-exponents
Of course! I'd be happy to help you review exponents. Exponents are a way of expressing repeated multiplication. The exponent, or power, tells you how many times a number should be multiplied by itself. For example, in the expression 2^3, the base is 2 and the exponent is 3. This means that you should multiply 2 by itself three times: 2 × 2 × 2 = 8.
To get started with the review, let's go through some of the common properties and rules of exponents:
1. Multiplying with the same base: When you multiply two numbers with the same base, you add their exponents. For example, 2^3 × 2^4 = 2^(3+4) = 2^7.
2. Dividing with the same base: When you divide two numbers with the same base, you subtract the exponent of the divisor from the exponent of the dividend. For example, 2^5 ÷ 2^3 = 2^(5-3) = 2^2.
3. Raising a power to a power: When you raise a number with an exponent to another exponent, you multiply the exponents. For example, (2^3)^4 = 2^(3×4) = 2^12.
4. Negative exponents: Negative exponents represent the reciprocal of the positive exponent. For example, 2^-3 = 1/(2^3) = 1/8.
5. Zero as an exponent: Any non-zero number raised to the power of zero is equal to 1. For example, 5^0 = 1.
Additionally, here are a couple of tips for dealing with exponents:
- When working with negative exponents, remember to convert them to positive exponents by taking the reciprocal of the base.
- Simplify the expression by performing the operations within parentheses first, then applying the exponent rules.
Now that you have a basic understanding of the properties and rules of exponents, you can practice by solving various problems, such as simplifying expressions involving exponents or finding the value of a given exponential expression.
If you have any specific questions or need further clarification on any concept related to exponents, feel free to ask!