Apply all exponent rules quick check

1 answer

Sure, here are the exponent rules:

1. Product Rule: When multiplying two terms with the same base, add the exponents. For example: a^m * a^n = a^(m + n).

2. Quotient Rule: When dividing two terms with the same base, subtract the exponents. For example: a^m / a^n = a^(m - n).

3. Power Rule: When raising a power to another power, multiply the exponents. For example: (a^m)^n = a^(m * n).

4. Zero Rule: Any non-zero number raised to the power of zero is always equal to 1. For example: a^0 = 1, where a ≠ 0.

5. Negative Exponent Rule: To change a term with a negative exponent to a positive exponent, move it to the denominator (or vice versa). For example: a^(-n) = 1/a^n.

6. Product of Powers Rule: When multiplying terms with the same exponent, multiply the bases. For example: a^m * b^m = (a * b)^m.

7. Quotient of Powers Rule: When dividing terms with the same exponent, divide the bases. For example: a^m / b^m = (a / b)^m.

8. Power of a Product Rule: When raising a product to an exponent, distribute the exponent to each term. For example: (a * b)^n = a^n * b^n.

Remember to always simplify as much as possible and apply these rules according to the specific situation you are dealing with.
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