How do you simplify exponents? Explain.

In general we have a set of rules which are used in simplification of exponents.

1) Zero-Exponent Rule: a⁰ = 1, this says that anything raised to the zero power is 1.

2) Product Rule: a^m ∙ aⁿ = a^{m + n}, this says that to multiply two exponents with the same base, you keep the base and add the powers.

3) Quotient Rule: , this says that to divide two exponents with the same base, you keep the base and subtract the powers.

4) Power Rule (Powers to Powers): (a^m)ⁿ = a^mn, this says that to raise a power to a power you need to multiply the exponents.

5) Negative Exponent Rule: , this says that negative exponents in the numerator get moved to the denominator and become positive exponents.