Rules of Exponents

zero exponents

any nonzero number with an exponent of zero is equivalent to 1

power of a product

find the power of each factor in the parentheses and multiply

negative exponents

for any nonzero number "a" raised to a negative exponent, place the power in the denominator to rewrite the power with a positive exponent

power of a quotient

for any numbers "a" and "b" where b does not equal 0, if the quotient of a and b is raised to a power, raise both the numerator and the denominator to the given power

quotient of powers

if dividing two numbers with the same base, subtract the exponents

products of powers

if multiplying two numbers with the same base, add the exponents

power of a power

if raising a power to a power, multiply the exponents