Question

Properties of Exponents all steps

Answer 1

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

2. Quotient Rule: When dividing two powers with the same base, you can subtract the 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 together.
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 (where a is not equal to zero)

5. Negative Exponent Rule: Any number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
For example: a^(-n) = 1/(a^n)

6. Fractional Exponent Rule: Any number raised to a fractional exponent is equal to its root.
For example: a^(m/n) = n√(a^m)