Questions: Simplify the radical expression. √^4(x^10 y^4) Write your answer in the form A, √^4(B), or √^4(B), where A and B are constants or expressions in x and y. Use at most one radical in your answer, and at most one absolute value symbol in your expression for A.

Simplify the radical expression.
√^4(x^10 y^4)

Write your answer in the form A, √^4(B), or √^4(B), where A and B are constants or expressions in x and y. Use at most one radical in your answer, and at most one absolute value symbol in your expression for A.

Transcript text: Simplify the radical expression. \[ \sqrt[4]{x^{10} y^{4}} \] Write your answer in the form $A, \sqrt[4]{B}$, or $\sqrt[4]{B}$, where $A$ and $B$ are constants or expressions in x and y. Use at most one radical in your answer, and at most one absolute value symbol in your expression for $A$.

Solution

Solution Steps

To simplify the radical expression $\sqrt[4]{x^{10} y^{4}}$, we need to break down the expression inside the radical into parts that can be simplified. The goal is to express the result in the form $A \cdot \sqrt[4]{B}$, where $A$ and $B$ are expressions in terms of $x$ and $y$. We will use the property that $\sqrt[n]{a^m} = a^{m/n}$ to simplify the expression.