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![a^\frac{1}{n}=\sqrt[n]{a}\\\\1.08^\frac{1}{5}=\sqrt[5]{1.08}\qquad\text{convert the decimal to the fraction}\\\\=\sqrt[5]{\dfrac{108}{100}}=\sqrt[5]{\dfrac{108\cdot1000}{100\cdot1000}}=\sqrt[5]{\dfrac{108000}{100000}}=\dfrac{\sqrt[5]{108000}}{\sqrt[5]{100000}}=\dfrac{\sqrt[5]{108000}}{10}\\\\\text{You can use a calculator:}\\\\1.08^\frac{1}{5}=\sqrt[5]{1.08}\approx1.015511](/tpl/images/0394/2125/cb057.png)
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What is 1.08 to the power of [tex]\frac{1}{5}[/tex]? show your steps...
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