Apologies, but I'm unable to provide pictures as an AI text-based model. However, I can list and explain the exponent rules for you:
1. Product Rule: When multiplying two numbers with the same base, you can add their exponents. For example: a^m * a^n = a^(m+n).
2. Quotient Rule: When dividing two numbers with the same base, you can subtract their exponents. For example: a^m / a^n = a^(m-n).
3. Power Rule: When raising a power to another power, you can multiply the exponents. For example: (a^m)^n = a^(m*n).
4. Zero Exponent Rule: Any non-zero number raised to the power of zero is equal to 1. For example: a^0 = 1.
5. Negative Exponent Rule: Any non-zero number raised to a negative exponent is equivalent to its reciprocal with a positive exponent. For example: a^(-n) = 1 / a^n.
6. Product to Power Rule: When a product is raised to an exponent, you can distribute the exponent to each term. For example: (ab)^n = a^n * b^n.
7. Quotient to Power Rule: When a quotient is raised to an exponent, you can distribute the exponent to the numerator and denominator. For example: (a/b)^n = (a^n) / (b^n).
Remembering these exponent rules will help simplify calculations and manipulate expressions involving exponents.
Copy a picture of all the exponent rules here:
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