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Zero, Negative
and Rational
Exponents
Your task:
Writes radicals as
expressions with
rational exponents
Preliminary
Simplify the following
expressions:
Illustrative Examples:
Write each as
expression with
positive rational
exponent.
How do we express
radicals into
expressions with
rational exponents?
If
𝒎
𝒏
is a rational number
and a is a positive real
number, then 𝒂
𝒎
𝒏
=
𝒏
𝒂 𝒎 =
(
𝒏
𝒂 𝒎) provided that
𝒏
𝒂 𝒎
is a real number.
The form 𝒏
𝒂
𝒎
= 𝒂
𝒎
𝒏
is
called the principal nth root
of𝒂 𝒎
.Through this we can
write expressions with
rational exponents as
radicals.
Carefully analyze the examples below then fill in
the rest of the exercises with the correct
answer.
6.
7.
8.
6.
7.
8.
Write each as
expressions with
positive rational
exponents, then
decode the following
Show Me Your Sweet Smile
Amira’s, Rowena’s and Loumar’s are the
most famous stop-over in Tagaytay for
pasalubong. What do you think is
common to these Tagaytay’s tourist
flavour attraction? To find out, write the
letter of the correct choice in each blank
at the bottom that contains the exercise
number.
Ass.#2.__
Write each as expressions with
positive rational exponents.
 zero, negative and rational exponents
 zero, negative and rational exponents

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zero, negative and rational exponents