Exponent Rules

When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Any non-zero number raised to the power of zero equals 1: a^0 = 1.

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

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

When multiplying powers with different bases but the same exponent, multiply the bases and keep the exponent: a^n * b^n = (ab)^n.

When dividing powers with different bases but the same exponent, divide the bases and keep the exponent: a^n / b^n = (a/b)^n.