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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_333%3A_Introduction_to_College_Algebra/02%3A_Equations_and_Inequalities/2.06%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Courses/Las_Positas_College/Book%3A_College_Algebra/02%3A_Equations_and_Inequalities/2.06%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Workbench/College_Algebra_2e_(OpenStax)/02%3A_Equations_and_Inequalities/2.07%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Courses/Western_Connecticut_State_University/Draft_Custom_Version_MAT_131_College_Algebra/02%3A_Equations_and_Inequalities/2.06%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/02%3A_Equations_and_Inequalities/2.06%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Workbench/Hawaii_CC_Intermediate_Algebra/01%3A_Algebra_Fundamentals/1.09%3A_Absolute_Value_Functions/1.9.03%3A_Absolute_Value_EquationsBecause the point where the graph of y = a intersects the left-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = −a. Because the point where the grap...Because the point where the graph of y = a intersects the left-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = −a. Because the point where the graph of y = a intersects the right-hand branch of y = |x| has y-coordinate y = a, the x-coordinate of this point of intersection is x = a. Recall that for any real number x, the absolute value of x is defined as the distance between the real number x and the origin on the real line.
- https://math.libretexts.org/Workbench/Algebra_and_Trigonometry_2e_(OpenStax)/02%3A_Equations_and_Inequalities/2.07%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/02%3A_Polynomial_and_Rational_Functions/2.01%3A_Absolute_Value_FunctionsThis section explores absolute value functions, including their definition, properties, and graphing. It explains how to interpret and solve absolute value equations and inequalities, and covers trans...This section explores absolute value functions, including their definition, properties, and graphing. It explains how to interpret and solve absolute value equations and inequalities, and covers transformations such as shifts and reflections. Examples and exercises help demonstrate how to handle these functions in different contexts, reinforcing the understanding of their behavior and applications.
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/02%3A_Equations_and_Inequalities/2.06%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_370%3A_Precalculus/02%3A_Linear_and_Quadratic_Functions/2.02%3A_Absolute_Value_FunctionsThere are a few ways to describe what is meant by the absolute value |x| of a real number x. The long and short of both of these procedures is that |x| takes negative real numbers and assigns them t...There are a few ways to describe what is meant by the absolute value |x| of a real number x. The long and short of both of these procedures is that |x| takes negative real numbers and assigns them to their positive counterparts while it leaves positive numbers alone. This last description is the one we shall adopt, and is summarized and discuss in this Module.
- https://math.libretexts.org/Courses/Hope_College/Math_125%3A_Hope_College/01%3A_Algebra_Essentials/1.10%3A_Other_Types_of_EquationsRational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the v...Rational exponents can be rewritten several ways depending on what is most convenient for the problem. To solve, both sides of the equation are raised to a power that will render the exponent on the variable equal to 1. Factoring extends to higher-order polynomials when it involves factoring out the GCF or factoring by grouping. We can solve radical equations by isolating the radical and raising both sides of the equation to a power that matches the index.
