Students will be able to:
understand the properties of exponents.
generate equivalent expressions with exponents.
Expressions with integer exponents can be simplified using the properties of exponents. The simplified expression will always be equivalent to the original expression.
Use these properties when simplifying expressions with exponents (when a, m, and n ≠ 0).
Product of Powers Property:
When the bases are the same, add the exponents.
a^m × a^n = a^(m+n)
Power of Products Property:
When the bases are different, multiply the bases and keep the exponent the same.
a^n × b^n = (a × b)^n
Power of a Power Property:
To find the power of a power, multiply the exponents.
(a^m)^n = a^(m×n)
Quotient of Powers Property:
When the bases are the same, subtract the exponents.
a^m ÷ a^n = a^(m-n)