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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 short demonstration of multiplying and then reducing the result when presented with the product of two radical expressions.
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A simple demonstration of how the product rule forexponents still applies when the exponents are fractions
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Starts with cautiioning against multiplying the factors back together and describes the zero product property to justify this warning. Then shows how to continue from the factored form to separate…
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A multil-variable example where we can gather together like factors and then multiply them as numbers or by adding their exponents. If any negative exponents occur, then the definition of a negative…
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A short review of these two rules and then an application of them to two multi-factor expressions.
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A short demo of this rule
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A straightforward examplel of a simplification using the product rule for exponents.
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The product rule is stated in general and then applied to an example.
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A quick intro to how and why the product rule for exponents works.
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Shows how to interpret a verbal description into an mathematical equation.
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Shows how to manipulate fractional exponents in variou sways
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This demonstrates how some quadratic equations need to be simplified and put in standard form before the quadratic expression can be factored so the factors can be set to zero and solved.
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This is a quadractic equation that can be factored to solve it. The zero product property allows writing the factors each equal to 0 and then solving those linear equatioins.
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This applies the factoring methods learned previously to solving a quadratic equation in standard form, that is with all th eterms on the left of the equals sign and 0 on the right
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This type of equation is solved by factoring a GCF from both terms once the proper form is achieved. Then the zero product property allows the separation of the two factors into two solvable linear…
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