Definition: Product of Exponents

Product of Exponents: This rule states that when you multiply two powers with the same base, you can combine them by adding their exponents.

Explanation:

When you multiply two exponential expressions with the same base, you add their exponents. Mathematically, if you have \$ a^m \$ and \$ a^n \$, where a is the base and m and n are the exponents, then their product is given by \$ (a^m) \times (a^n) = (a^(m+n)) \$.

Definition: Quotient of Exponents

The quotient of Exponents: This rule states that when you divide two powers with the same base, you can combine them by subtracting the exponent of the divisor from the exponent of the dividend.

Explanation:

If you have a raised to the power of m divided by a raised to the power of n, then their quotient is \$ (a^m)/(a^n) = (a^(m-n)) \$.