To simplify an expression using
the properties of exponents.
1. Start by identifying the
properties of exponents. Here are
the four basic properties:
a. Product Rule: When
multiplying two numbers with the
same base, you add the
exponents.
b. Quotient Rule: When dividing
two numbers with the same base,
you subtract the exponents.
c. Power Rule: When raising a
number with an exponent to
another exponent, you multiply
the exponents
d. Zero Rule: Any number
(except 0) raised to the power of 0 is equal to 1
2. Look for any like terms or
common bases in the expression.
Like terms are terms that have the
same variables raised to the same
exponents.
3. Apply the properties of
exponents to simplify the
expression. Use the product rule,
quotient rule, power rule, and
zero rule as needed
4. Expand any numerical portion
of your answer. This means
performing any necessary
arithmetic operations, such as
addition or subtraction.
5. Make sure to include only
positive exponents in your final
answer. If you have any negative
exponents, use the reciprocal
property to convert them into
positive exponents.