Exponent Rules in Mathematics

Front

Product of Powers Rule: a^m ⋅ a^n = a^(m+n)

Back

When multiplying with the same base, add the exponents.

Front

Quotient of Powers Rule: a^m / a^n = a^(m-n)

Back

When dividing with the same base, subtract the exponents.

Front

Power of a Power Rule: (a^m)^n = a^(m*n)

Back

Multiply the exponents when raising a power to a power.

Front

Power of a Product Rule: (ab)^n = a^n ⋅ b^n

Back

Apply the exponent to each factor inside the parentheses.

Front

Power of a Quotient Rule: (a/b)^n = a^n / b^n

Back

Apply the exponent to both numerator and denominator.

Front

Zero Exponent Rule: a^0 = 1

Back

Any nonzero number raised to the 0 power is 1.