Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**Question:** Select the expression that is equivalent to \(\frac{1}{6x^{\frac{1}{4}}}\). **Explanation:** In this problem, we are given the mathematical expression \(\frac{1}{6x^{\frac{1}{4}}}\) and asked to select an equivalent form from a list of options (not provided in the image). To solve this, consider rewriting the expression or simplifying it. One equivalent form might involve changing the representation of the fractional exponent \(x^{\frac{1}{4}}\). Simplification tips: 1. Recall that \(x^{\frac{1}{4}}\) is the same as the fourth root of \(x\). 2. Possible equivalent expressions could be in a different form involving exponents or radicals. Make sure to review each provided option to determine which one is algebraically the same as the given expression \(\frac{1}{6x^{\frac{1}{4}}}\).
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Transcribed Image Text:**Question:** Select the expression that is equivalent to \(\frac{1}{6x^{\frac{1}{4}}}\). **Explanation:** In this problem, we are given the mathematical expression \(\frac{1}{6x^{\frac{1}{4}}}\) and asked to select an equivalent form from a list of options (not provided in the image). To solve this, consider rewriting the expression or simplifying it. One equivalent form might involve changing the representation of the fractional exponent \(x^{\frac{1}{4}}\). Simplification tips: 1. Recall that \(x^{\frac{1}{4}}\) is the same as the fourth root of \(x\). 2. Possible equivalent expressions could be in a different form involving exponents or radicals. Make sure to review each provided option to determine which one is algebraically the same as the given expression \(\frac{1}{6x^{\frac{1}{4}}}\).
The image displays a multiple-choice question with four options, each containing a mathematical expression. The question appears to be related to simplifying or choosing the correct form of a fraction involving square roots. Here are the options: 1. First option: \[\frac{1}{6\sqrt{x^4}}\] (Radio button for selection) 2. Second option: \[\frac{1}{\sqrt{4 \cdot 6x}}\] (Radio button for selection) 3. Third option: \[\frac{1}{6\sqrt[4]{x}}\] (Radio button for selection) 4. Fourth option: \[\frac{1}{\sqrt{6 \cdot x^4}}\] (Radio button for selection) Each option is represented as a fraction with a square root or fourth root in the denominator. The expressions inside the square roots include terms with \(x\) raised to different powers and numerical coefficients. The radio buttons next to each option indicate that the user is expected to select the correct answer from these choices.
expand button
Transcribed Image Text:The image displays a multiple-choice question with four options, each containing a mathematical expression. The question appears to be related to simplifying or choosing the correct form of a fraction involving square roots. Here are the options: 1. First option: \[\frac{1}{6\sqrt{x^4}}\] (Radio button for selection) 2. Second option: \[\frac{1}{\sqrt{4 \cdot 6x}}\] (Radio button for selection) 3. Third option: \[\frac{1}{6\sqrt[4]{x}}\] (Radio button for selection) 4. Fourth option: \[\frac{1}{\sqrt{6 \cdot x^4}}\] (Radio button for selection) Each option is represented as a fraction with a square root or fourth root in the denominator. The expressions inside the square roots include terms with \(x\) raised to different powers and numerical coefficients. The radio buttons next to each option indicate that the user is expected to select the correct answer from these choices.
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