kimbol gwapo

1. Transforming radical
expressions to expressions
with rational exponents.

2. Learning Objectives:
At the end of the lesson, students will be able to:
 define radical expressions;
 transform radical expressions as
expressions with rational exponent; and
 demonstrate appreciation in applying the
pattern in transforming radical expressions as
expressions with rational exponent.

3. - The word ‘index’ is the number
(superscripted) outside the symbol
or outside of the radical sign.
- The word ‘radical sign’
means the symbol 𝒐.
- The word ‘radicand’ means the
expressions inside the symbol or
the radical sign.

4. Steps in transforming radical expressions
to expressions with rational exponents.
 First step: Write the letter or variable used in the
expression. No need to put radical sign or the symbol.
 Second step: copy the exponent of the radicand and
put it as exponent of the variable or letter. This
number will become the numerator of your rational
exponent.
 Third step: move the index number as the denominator
of your rational exponent.

5. Transform the following radical expressions into
expressions with rational exponents.
YOU DO IT
1.
𝟑
𝒃𝟒
2.
𝟕
𝒓−𝟔
3.
𝒗
𝒘𝒐
Answer: 𝒃
𝟒
𝟑
Answer: 𝒓
−𝟔
𝟕
Answer: 𝒘
𝟏
𝟐

6. Identify the choice that best completes the mathematical
statement. Transform the following radical expressions into
expressions with rational exponents.
𝟏.
𝟏𝟐
𝒈𝟏𝟑
A. 𝒈
𝟏𝟑
𝟏𝟐 B. 𝒈
𝟏𝟐
𝟏𝟑 C. 𝒈
𝟐
𝟑 D. 𝒈
𝟑
𝟐
𝟐.
𝟒
𝒚−𝟗
A.𝒚
𝟗
𝟒 B. 𝒚
−𝟗
𝟒 C. 𝒚
𝟒
𝟗 D. 𝒚
𝟒
−𝟗
𝟑. 𝒉
A.h2 B. 𝒉
𝟏
𝟏 C. 𝒉 D. 𝒉
𝟏
𝟐
𝟒.
𝟓
𝒎𝟐
A.𝒎
𝟐
𝟓 B. 𝒎
𝟓
𝟐 C. m2 D. m5
𝟓.
𝟕
𝒏−𝟖
A. 𝒏
𝟕
−𝟖 B. 𝒏
−𝟖
𝟕 C. 𝒏
𝟖
𝟕 D. 𝒏
𝟕
𝟖

7. Identify the choice that best completes the mathematical
statement. Transform the following radical expressions into
expressions with rational exponents.
𝟏.
𝟏𝟐
𝒈𝟏𝟑
A. 𝒈
𝟏𝟑
𝟏𝟐 B. 𝒈
𝟏𝟐
𝟏𝟑 C. 𝒈
𝟐
𝟑 D. 𝒈
𝟑
𝟐
𝟐.
𝟒
𝒚−𝟗
A.𝒚
𝟗
𝟒 B. 𝒚
−𝟗
𝟒 C. 𝒚
𝟒
𝟗 D. 𝒚
𝟒
−𝟗
𝟑. 𝒉
A.h2 B. 𝒉
𝟏
𝟏 C. 𝒉 D. 𝒉
𝟏
𝟐
𝟒.
𝟓
𝒎𝟐
A. 𝒎
𝟐
𝟓 B. 𝒎
𝟓
𝟐 C. m2 D. m5
𝟓.
𝟕
𝒏−𝟖
A. 𝒏
𝟕
−𝟖 B. 𝒏
−𝟖
𝟕 C. 𝒏
𝟖
𝟕 D. 𝒏
𝟕
𝟖