Questions: 2+5 y

Solution Steps

To simplify the expression \(\sqrt[10]{(2+5y)^{10}}\), we can use the property of exponents that states \(\sqrt[n]{a^n} = a\) when \(a\) is non-negative. This means that the 10th root of \((2+5y)^{10}\) is simply \(2+5y\).

We start with the expression given in the problem: \[ \sqrt[10]{(2 + 5y)^{10}}. \]

Using the property of exponents, we know that: \[ \sqrt[n]{a^n} = a \quad \text{for } a \geq 0. \] Thus, we can simplify our expression: \[ \sqrt[10]{(2 + 5y)^{10}} = 2 + 5y. \]

Final Answer