Rational exponents and radicals
9 videos
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Algebra 2 - Rational Exponents and Radicals: What You Need to Know
This video explains how radicals and rational exponents are connected, showing that square roots and nth roots can be written as fractional exponents like x^(1/n).
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Algebra 2 - What Do Fractional Exponents Actually Mean?
Learn how fractional exponents work as roots and powers. The denominator indicates the root type, while the numerator shows the power to apply.
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Algebra 2 - Converting Between Radicals and Rational Exponents
Learn how to convert between radicals and fractional exponents using the formula: nth root of x^m equals x^(m/n). Includes examples converting both ways.
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Algebra 2 - Evaluating Rational Exponents (Including Negatives)
Learn how negative exponents create reciprocals, not negative numbers. Step-by-step guide to evaluating 32 to the negative two-fifths power.
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Algebra 2 - Evaluating Tricky Rational Exponent Expressions
Learn a simple trick to simplify fractional exponents by combining bases with the same exponent. Step-by-step example shows how 729^(2/3) ÷ 3^(2/3) simplifies to 27∛3.
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Algebra 2 - Exponent Properties with Rational Exponents
Learn how exponent rules apply to fractional exponents. Covers product, quotient, and power rules with step-by-step examples using fractions as exponents.
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Algebra 2 - Simplifying and Rewriting Exponential Expressions
Learn to simplify expressions with fractional exponents using product and quotient rules. Master adding and subtracting exponents with common denominators for SAT success.
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Algebra 2 - Solving Exponential Equations by Matching Bases
Learn to solve exponential equations by rewriting both sides with the same base, then setting exponents equal. Includes step-by-step example with 4^(3x-1) = 64.
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Algebra 2 - Solving Advanced Exponential Equations
Learn how to solve exponential equations by rewriting both sides with a common base, then setting exponents equal to find the solution.