Exponent Properties
1. Product of like bases:
To multiply powers with the same base, add the exponents and
keep the common base.
Example:
2. Quotient of like bases:
To divide powers with the same base, subtract the exponents
and keep the common base.
Example:
3. Power to a power:
To raise a power to a power, keep the base and multiply the
exponents.
Example:
4. Product to a power:
To raise a product to a power, raise each factor to the power.
Example:
5. Quotient to a power
To raise a quotient to a power, raise the numerator and the
denominator to the power.
Example:
6. Zero Exponent:
Any number raised to the zero power is equal to “1”.
Example:
7. Negative exponent:
Negative exponents indicate reciprocation, with the exponent
of the reciprocal becoming positive. You may want to think of it
this way: unhappy (negative) exponents will become happy
(positive) by having the base/exponent pair “switch
floors”!
Example:
