Module 4: EVALUATION OF
Rational Exponents
Expressions with
RATIONAL
EXPONENTS
Learning Competency
simplifies expressions with
rational exponents..
M9AL- IIe-1
Objective/s
1. illustrate rational exponents;
2. simplify expressions applying the laws
of exponents; and
3. solve problems
2. Evaluate the expressions.
REVIEW: Simplify the following expressions with integral
exponents.
2. Evaluate the expressions.
Simplify the following expressions with integral exponents.
2. Evaluate the expressions.
CHOICES:
ANSWERS:
Illustration of Rational Exponents
Rational Exponent
𝒂𝒊𝒔 𝒃𝒂𝒔𝒆
m/n
Illustration of Rational Exponents
Rational Exponent
= = a
𝒂𝒊𝒔 𝒃𝒂𝒔𝒆
1/n
Illustration of Rational Exponents
Rational Exponent
= = a
𝒂𝒊𝒔 𝒃𝒂𝒔𝒆
1/n
Law of Exponents
Rational Exponent
=
𝒂
−
𝒎
𝒏
=
𝟏
𝒂
𝒎
𝒏
Rational Exponents
Rational Exponents
Rational Exponents or Not
Properties of Rational Exponents
Rational Exponents
Rational Exponents
Rational Exponents
Rational Exponents
Evaluate the expressions with Rational Exponents
1.
= ?
(𝟖
𝟏
𝟑 )=(𝟐
𝟑
𝟑 )
¿ 𝟐
❑
𝟖=𝟐.𝟐.𝟐𝒐𝒓 𝟐𝟑
(𝟖
𝟏
𝟑 )=(𝟐
𝟑
𝟏
𝟑 )
2.
= ?
(𝟏𝟎𝟎
𝟏
𝟐 )=(𝟏𝟎
𝟐
𝟐 )
¿ 𝟏𝟎
❑
𝟏𝟎𝟎=𝟏𝟎.𝟏𝟎𝒐𝒓 𝟏𝟎𝟐
(𝟏𝟎𝟎
𝟏
𝟐 )=(𝟏𝟎
𝟐
𝟏
𝟐 )
Rational Exponents
3.
= ?
(𝟐𝟕
𝟏
𝟑 )=(𝟑
𝟑
𝟑 )
¿ 𝟑
❑
𝟐𝟕=𝟑.𝟑.𝟑𝒐𝒓 𝟑𝟑
(𝟐𝟕
𝟏
𝟑 )=(𝟑
𝟑
𝟏
𝟑 )
Rational Exponents
4.
= ? ¿ ( 𝟐)𝟐
(𝟖
𝟏
𝟑 )=(𝟐
𝟑
𝟑 )
¿ 𝟐
❑
𝟖=𝟐.𝟐.𝟐𝒐𝒓 𝟐𝟑
(𝟖
𝟏
𝟑 )=(𝟐
𝟑
𝟏
𝟑 )
= 4
Rational Exponents
5.
= ? ¿ 𝟏𝟎𝟓
(𝟏𝟎𝟎
𝟏
𝟐 )=(𝟏𝟎
𝟐
𝟐 )
¿ 𝟏𝟎
❑
𝟏𝟎𝟎=𝟏𝟎.𝟏𝟎𝒐𝒓 𝟏𝟎𝟐
(𝟏𝟎𝟎
𝟏
𝟐 )=(𝟏𝟎
𝟐
𝟏
𝟐 )
= 100,000
Rational Exponents
6. ¿ (− 𝟓
𝟏
𝟐 )
𝟑
¿ ( √𝟓 𝒊 )
𝟑
𝒊𝒎𝒂𝒈𝒊𝒏𝒂𝒓𝒚
Rational Exponents
7. ¿ (− 𝟑
𝟏
𝟒 )
𝟑
¿ ( √𝟑 𝒊 )
𝟑
𝒊𝒎𝒂𝒈𝒊𝒏𝒂𝒓𝒚
𝑵𝒐𝒕𝒆:𝑩𝒂𝒔𝒆 𝒊𝒔𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒆 𝒂𝒏𝒅𝒅𝒆𝒏𝒐𝒎𝒊𝒏𝒂𝒕𝒐𝒓 𝒐𝒇 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕𝒊𝒔 𝒆𝒗𝒆𝒏𝒏𝒖𝒎𝒃𝒆𝒓
ACTIVITY
TRY THIS.
Evaluate the expressions.
2. Evaluate the expressions.
GROUP ACTIVITY: Simplify the following expressions with rational
exponents.
2. Evaluate the expressions.
Part 2: Simplify the following expressions with rational exponents.
Law of Exponents
LET’S PRACTICE:
LET’S PRACTICE:
Properties of Rational Exponents

SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS.pptx