Power Play

Base and Exponent

In an expression like $a^n$, 'a' is the base which is multiplied repeatedly, and 'n' is the exponent or power showing how many times the base is used.

Product Law

When multiplying two powers with the same base, you keep the base the same and add their exponents: $a^m \times a^n = a^{m+n}$.

Quotient Law

When dividing two powers with the same base, you keep the base the same and subtract the exponent of the denominator from the numerator: $a^m \div a^n = a^{m-n}$.

Power of a Power

To raise a power to another power, you multiply the exponents together: $(a^m)^n = a^{m \times n}$.

Zero Exponent

Any non-zero number raised to the power of zero is always equal to one: $a^0 = 1$.