Question
Explain the rules of exponents! You can make a chart, give examples, create a slideshow or a drawing or anything to show what you know about exponent rules!
make it short and small
make it short and small
Answers
GPT 3.5
Exponent rules are used to simplify and solve problems involving exponents. Here are the key rules:
1. Product Rule: When multiplying powers with the same base, add the exponents.
Example: x^a * x^b = x^(a+b)
2. Quotient Rule: When dividing powers with the same base, subtract the exponents.
Example: x^a / x^b = x^(a-b)
3. Power Rule: When raising a power to another power, multiply the exponents.
Example: (x^a)^b = x^(a*b)
4. Zero Rule: Any non-zero number raised to the power of zero is equal to one.
Example: x^0 = 1
5. Negative Exponent Rule: To change a negative exponent to a positive exponent, flip the base.
Example: x^-a = 1/x^a
Remember, these rules can be combined and applied in various ways to simplify and solve more complex exponent problems.
1. Product Rule: When multiplying powers with the same base, add the exponents.
Example: x^a * x^b = x^(a+b)
2. Quotient Rule: When dividing powers with the same base, subtract the exponents.
Example: x^a / x^b = x^(a-b)
3. Power Rule: When raising a power to another power, multiply the exponents.
Example: (x^a)^b = x^(a*b)
4. Zero Rule: Any non-zero number raised to the power of zero is equal to one.
Example: x^0 = 1
5. Negative Exponent Rule: To change a negative exponent to a positive exponent, flip the base.
Example: x^-a = 1/x^a
Remember, these rules can be combined and applied in various ways to simplify and solve more complex exponent problems.