Exponential Rules (warmup for 4.1)

When dividing two expressions with the same base, subtract the exponent of the denominator from the exponent of the numerator: a^m / a^n = a^(m-n).

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).

Any non-zero number raised to the zero power is equal to 1: a^0 = 1 (where a ≠ 0).

When multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

4^(-2) simplifies to 1/16.

If a^m = a^n, then m must equal n, provided that a is not zero.

When multiplying two expressions with the same base, add the exponents: a^m * a^n = a^(m+n).

134^0 simplifies to 1.

The exponent can be expressed as a root: a^(1/n) = n√a.

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).