Pregunta
Which of the following is equivalent to the expression \( 7 x^{1 / 2} \)
Ask by Vega Turner. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( 7 x^{1 / 2} \) is equivalent to \( 7 \sqrt{x} \).
Solución
To find an equivalent expression for \( 7 x^{1 / 2} \), we can rewrite \( x^{1 / 2} \) in a different form.
The expression \( x^{1 / 2} \) is equivalent to the square root of \( x \), which can be written as:
\[
x^{1 / 2} = \sqrt{x}
\]
Thus, we can rewrite the original expression:
\[
7 x^{1 / 2} = 7 \sqrt{x}
\]
Therefore, the expression \( 7 x^{1 / 2} \) is equivalent to \( 7 \sqrt{x} \).
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Simplifique esta solución Bonus Knowledge
To rewrite \( 7 x^{1 / 2} \), you can express it in radical form. This yields \( 7 \sqrt{x} \), which is a fun and often easier-to-visualize way to represent the same quantity! When working with expressions involving exponents and radicals, remember that \( x^{1/2} \) represents the square root of \( x \). A common mistake is forgetting that raising any number, including variables, to an exponent means that the base is multiplied by itself that many times. In this case, you’re dealing with the square root, not the square!
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