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The combining of like factors from two radicals into one and then the simplification of the result.
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A quick justification of dividing fractions by multiplying by the reciprocal of the second fraction in the division followed by an example that involves reducing the common factors in the numerator…
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A short example of factoring each of two terms so we can see clearly what the common factors are.
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A demo of this topic where I stack the l ike terms in columns as a perform the distributions connecting each term of the first polynomial to each term in the other.
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Two bases with exponents divided by the same bases with different exponents are presented and simplified using the quotient rule. The negative exponent definition is also discussed and applied.
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A short demo of this rule
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A quick intro to how and why the product rule for exponents works.
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Two examples of applying exponents to fractions in certain ways. Other examples should be investigated.
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A qucikc look at a simple fourth root of a combined pair of them, numbers only.
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Multiplication of two radicals by pairing all numbers after prime factorization and taking half of all even exponents with variables as a base.
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Multiplying two radical expressions by showing the factorization of the numbers and using even exponents to remove variable factors.
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Simple demonstration of what x ^ (1 / n) means.
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Simplification of two fractions withing a larger fraction. Both fractions have only multiplied factors in both numerator and denominator.
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Shows how to use the given factors of two different denominators and find the LCD then adjust the fractions so they can be added
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Shows how to create the simplest expression both of the given ones divide into.
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This demonstrates why symthetic division works when dividing by a simple binomial as in x + a or x - a. Then it shows how to fill in the answers for this type of question.
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