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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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Shows how to create common bases so that then the exponents can be set equal to each other and that equation can be solved.
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Shows how to separate out the persct square so they can become whole numbers or expression leaving the remaining factors under the square root.
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Demonstrates how the quotient rule for exponents is applied the same way to rational exponents.
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A simple demonstration of how the product rule forexponents still applies when the exponents are fractions
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Shows three examples of using a unit fraction as an exponent and coverting itt to its radical form sot the result can be further understood.
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This demonstrates how to transform variables with negative exponents into corresponding reciprocal fractions, and then proceed to simplify the resulting complex fraction by multiplying all terms by…
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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 multi-variable fraction that is reduced by applying the quotient rule and the definition of a negative exponent.
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A qucik example of applying the qoutient rule for exponents and the definition of a negative exponent.
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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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Two examples of expressions with negative exponents that are changed to expressions with positive exponents, leaving the numerical factor as is.
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Two examples are shown with negative exponents. The reciprocal is produced first before applying the exponent to the numerator and denominator in each example.
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A simplification of a fraction with products and exponents in parentheses raised to an external power
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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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