\(\left(-\dfrac{1}{16}\right)^{100}=\left[\left(-\dfrac{1}{2}\right)^4\right]^{100}=\left(-\dfrac{1}{2}\right)^{400}=\left(\dfrac{1}{2}\right)^{400}< \left(\dfrac{1}{2}\right)^{500}=\left(-\dfrac{1}{2}\right)^{500}\)
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\(\left(-\dfrac{1}{16}\right)^{100}=\left[\left(-\dfrac{1}{2}\right)^4\right]^{100}=\left(-\dfrac{1}{2}\right)^{400}< \left(-\dfrac{1}{2}\right)^{500}\)
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