Evaluate the expression without using a calculator. Rewrite the expression using a racical 128^(1)/(7)=square (Donot evaluate) Evaluate 128^(1)/(7)=square (Simplify your asswer.)

To evaluate the expression \(128^{\frac{1}{7}}\), we first rewrite it using a radical. The expression \(128^{\frac{1}{7}}\) can be rewritten as:<br /><br />\[<br />128^{\frac{1}{7}} = \sqrt[7]{128}<br />\]<br /><br />Now, let's evaluate \(\sqrt[7]{128}\). We need to determine if 128 is a perfect seventh power or find an approximate value.<br /><br />First, express 128 as a power of 2:<br /><br />\[<br />128 = 2^7<br />\]<br /><br />Since 128 is equal to \(2^7\), taking the seventh root of \(128\) gives us:<br /><br />\[<br />\sqrt[7]{128} = \sqrt[7]{2^7} = 2<br />\]<br /><br />Therefore, the simplified answer is:<br /><br />\[<br />128^{\frac{1}{7}} = 2<br />\]