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Your Task: Writes
expressions with
rational
exponents as
radicals
Directions: Simplify
the following
expressions.
1.
Answer
25
2.
Answer
𝑎6
𝑏3
𝑐5
3.
Answer
𝑚2
𝑛3
4.
Answer
1
𝑥𝑦
1
4
5.
Answer
6
Illustrative Examples:
Write the following
expression in radical
form.
eg.1
eg.2
eg.3
eg.4
Question:
Based on the process that
you have observed, how
can we write expressions
with rational exponents
as radicals?
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.
Group Activity
Carefully analyze the example
below then fill in the rest of the
exercises with the correct answer.
Eg.
1.
2.
3.
4.
5.
6.
7.
8.
A
N
S
W
E
R
1.
2.
3.
4.
A
N
S
W
E
R
5.
6.
7.
8.
2
3
Exercise# 2.__
Directions: Rewrite in
radical form, then decode
the following.
Fish Be With You!
It is a freshwater fish that is found in Taal
Lake. Also called giant trevally, this fish can
weigh up to 3 kilos. It looks like talakitok but
tastes a lot better and best served when
grilled. What‟s this fish? To find out, write
the letter of the correct choice in each blank
at the bottom that contains the exercise
number.
5.
6.
7.
8.
1.
2.
3.
4.
A.
N.
P.
I.
O.
M.
E.
T.
L.
B.
U.
W.
LAM UPI OT
Ass.#2.__Directions: Write each of
the following expressions in radical
form. BOX the final answer.

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learning competency 4a. writes expressions with rational exponents as radicals