Questions: Simplify the given expression. √4(y^4) √4(y^4)=

Solution Steps

To simplify the expression \(\sqrt[4]{y^{4}}\), we need to recognize that taking the fourth root of \(y^4\) is equivalent to raising \(y^4\) to the power of \(\frac{1}{4}\). This simplifies to \(y^{4 \times \frac{1}{4}} = y^1 = y\).

We start with the expression \( \sqrt[4]{y^{4}} \).

Using the property of exponents, we can rewrite the expression as: \[ \sqrt[4]{y^{4}} = (y^{4})^{\frac{1}{4}} \]

Next, we simplify the exponent: \[ (y^{4})^{\frac{1}{4}} = y^{4 \cdot \frac{1}{4}} = y^{1} \]

Final Answer