7.3 binomial radical expressions 7.4 rational exponents objectives: 1.to add and subtract radical...
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7.3 Binomial Radical Expressions7.4 Rational Exponents
Objectives:
1.To add and subtract radical expressions.
2. To multiply and divide radical expressions.
3. To simplify expressions with rational exponents.
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Example 1: Simplifya) b)
c)
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Example 2: Simplifya) b)
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Example 3: Multiplya) b)
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Example 4: Rationalize the denominator.
a)
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Trivia…
1. In what year was Barbie 1st created?1959
2. What TV star did 500,000 people show up to watch sing at the Berlin Wall?
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Rational Exponents Roots can be written as fractional exponents.
Example 5: Write each root as a fractional exponent.
a) b) c) d)
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Rational Exponents We can also go the opposite way and write
fractional exponents as roots.
Example 6: Write each fractional exponent as a root.
a) b) c) d)
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Simplify.a)
Sometimes rewriting fractional exponents as radicals is beneficial.
b)
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Example 7: Rewrite as radicals and simplifya) b) c)
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Definition of a Rational Exponent
Write as a radical:
The denominator is the index of the radical(tells what root you have: square root, cube root, fourth root, etc.)
The numerator is the exponent.
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Example 8: Rewrite in Radical Forma) b) c)
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Example 9: Rewrite in Exponential Form
a) b) c)
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Negative Exponents Remember from Algebra 1, to make a
negative exponent positive just move it from the numerator to the denominator or vise versa.
Make all exponents positive:
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Example 10: Simplify (means no negative exponents)a) b) c)
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Trivia…
1. In Aladdin, what was the name of Aladdin’s mischievous monkey? ABU
2. What Adam Sandler comedy featured Bob Barker's screen debut?
Happy Gilmore
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Example 11: Simplifya) b) c)
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Example 11: Simplifyd) e)
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Homework P 382 – 383: 1, 5-11 odd, 15, 21, 23, 25 P 388 – 389: 31 – 49 odd, 59, 61, 69 – 75 odd