Dound your answers to the nearest thousandth. \( 0.2^{-0.25}= \) \( \left(\frac{2}{7}\right)^{1.4}=\square \)
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To solve these expressions: For \( 0.2^{-0.25} \), we can rewrite it as \( \frac{1}{0.2^{0.25}} \). Calculating \( 0.2^{0.25} \) gives us approximately \( 0.66874 \). Taking the reciprocal, we get \( 0.2^{-0.25} \approx 1.496 \). Rounding to the nearest thousandth, the answer is \( 1.496 \). For \( \left(\frac{2}{7}\right)^{1.4} \), we can first find the value of \( \frac{2}{7} \), which is approximately \( 0.2857 \). Raising this to the power of \( 1.4 \) gives us approximately \( 0.1884 \). Rounding to the nearest thousandth, the answer is \( 0.188 \). So, \( 0.2^{-0.25} \approx 1.496 \) \( \left(\frac{2}{7}\right)^{1.4} \approx 0.188 \)