Apply All Exponent Rules Quick Check

Answer 1

1. Product of powers rule: When multiplying two powers with the same base, you add the exponents.

Example: a^m * a^n = a^(m+n)

2. Quotient of powers rule: When dividing two powers with the same base, you subtract the exponents.

Example: a^m / a^n = a^(m-n)

3. Power of a power rule: When raising a power to another power, you multiply the exponents.

Example: (a^m)^n = a^(m*n)

4. Power of a product rule: When raising a product to a power, you distribute the exponent to each factor.

Example: (a*b)^n = a^n * b^n

5. Power of a quotient rule: When raising a quotient to a power, you distribute the exponent to both the numerator and denominator.

Example: (a/b)^n = a^n / b^n

6. Zero exponent rule: Any non-zero number raised to the power of zero is equal to 1.

Example: a^0 = 1

7. Negative exponent rule: To change a negative exponent to a positive exponent, you can take the reciprocal of the base and make the exponent positive.

Example: a^-n = 1 / a^n

These are just some of the exponent rules that can be applied in various mathematical calculations involving exponents.

Answer 2

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