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SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS.pptx
- 1. Module 4: EVALUATIONOF Rational Exponents
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- 3. Learning Competency simplifies expressionswith rational exponents.. M9AL- IIe-1
- 4. Objective/s 1. illustrate rationalexponents; 2. simplify expressions applying the laws of exponents; and 3. solve problems
- 5. 2. Evaluate theexpressions. REVIEW: Simplify the following expressions with integral exponents.
- 6. 2. Evaluate theexpressions. Simplify the following expressions with integral exponents.
- 7. 2. Evaluate theexpressions. CHOICES: ANSWERS:
- 8. Illustration of RationalExponents Rational Exponent 𝒂𝒊𝒔 𝒃𝒂𝒔𝒆 m/n
- 9. Illustration of RationalExponents Rational Exponent = = a 𝒂𝒊𝒔 𝒃𝒂𝒔𝒆 1/n
- 10. Illustration of RationalExponents Rational Exponent = = a 𝒂𝒊𝒔 𝒃𝒂𝒔𝒆 1/n
- 11. Law of Exponents RationalExponent = 𝒂 − 𝒎 𝒏 = 𝟏 𝒂 𝒎 𝒏
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- 15. Properties of RationalExponents
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- 20. Evaluate the expressionswith 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 )
- 21. Rational Exponents 3. = ? (𝟐𝟕 𝟏 𝟑)=(𝟑 𝟑 𝟑 ) ¿ 𝟑 ❑ 𝟐𝟕=𝟑.𝟑.𝟑𝒐𝒓 𝟑𝟑 (𝟐𝟕 𝟏 𝟑 )=(𝟑 𝟑 𝟏 𝟑 )
- 22. 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
- 23. Rational Exponents 5. = ?¿ 𝟏𝟎𝟓 (𝟏𝟎𝟎 𝟏 𝟐 )=(𝟏𝟎 𝟐 𝟐 ) ¿ 𝟏𝟎 ❑ 𝟏𝟎𝟎=𝟏𝟎.𝟏𝟎𝒐𝒓 𝟏𝟎𝟐 (𝟏𝟎𝟎 𝟏 𝟐 )=(𝟏𝟎 𝟐 𝟏 𝟐 ) = 100,000
- 24. Rational Exponents 6. ¿(− 𝟓 𝟏 𝟐 ) 𝟑 ¿ ( √𝟓 𝒊 ) 𝟑 𝒊𝒎𝒂𝒈𝒊𝒏𝒂𝒓𝒚
- 25. Rational Exponents 7. ¿(− 𝟑 𝟏 𝟒 ) 𝟑 ¿ ( √𝟑 𝒊 ) 𝟑 𝒊𝒎𝒂𝒈𝒊𝒏𝒂𝒓𝒚 𝑵𝒐𝒕𝒆:𝑩𝒂𝒔𝒆 𝒊𝒔𝒏𝒆𝒈𝒂𝒕𝒊𝒗𝒆 𝒂𝒏𝒅𝒅𝒆𝒏𝒐𝒎𝒊𝒏𝒂𝒕𝒐𝒓 𝒐𝒇 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕𝒊𝒔 𝒆𝒗𝒆𝒏𝒏𝒖𝒎𝒃𝒆𝒓
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- 29. 2. Evaluate theexpressions. GROUP ACTIVITY: Simplify the following expressions with rational exponents.
- 30. 2. Evaluate theexpressions. Part 2: Simplify the following expressions with rational exponents.
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- 34. Properties of RationalExponents