Pregunta
Simplify the following (write your answer as a fraction or a decimal). \[ (0,04)^{\frac{1}{2}} \]
Ask by Lambert Ingram. in South Africa
Mar 08,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The simplified form is \(\frac{1}{5}\) or \(0.2\).
Solución
1. Rewrite \(0.04\) as a fraction:
\[
0.04 = \frac{4}{100}
\]
2. Simplify the fraction:
\[
\frac{4}{100} = \frac{1}{25}
\]
3. Take the square root of both the numerator and denominator:
\[
\left(\frac{1}{25}\right)^{\frac{1}{2}} = \frac{\sqrt{1}}{\sqrt{25}} = \frac{1}{5}
\]
Thus, the simplified form is \(\frac{1}{5}\) or \(0.2\).
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Simplifique esta solución Mind Expander
To simplify \( (0.04)^{\frac{1}{2}} \), we first notice that taking the square root (which is what \(\frac{1}{2}\) represents) of 0.04 can be simplified as follows. We can rewrite 0.04 as a fraction: \[ 0.04 = \frac{4}{100} = \frac{1}{25} \] Now, we take the square root: \[ (0.04)^{\frac{1}{2}} = \left(\frac{1}{25}\right)^{\frac{1}{2}} = \frac{1^{\frac{1}{2}}}{25^{\frac{1}{2}}} = \frac{1}{5} \] Thus, the simplified form of \( (0.04)^{\frac{1}{2}} \) is \[ \frac{1}{5} \text{ or } 0.2. \]
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