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
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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.
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