Rewrite the radical expression as an expression with rational exponents four square root X to the fifth

Accepted Solution

For this case we must write algebraically the following expression:"four square root x to the fifth"We have to:square root x is represented as: [tex]\sqrt {x}[/tex]Then, the expression will be:[tex]4 \sqrt {x ^ 5}[/tex]Equivalently, according to the property of powers and roots:[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]We have:[tex]4x ^ {\frac {5} {2}}[/tex]ANswer:[tex]4 \sqrt {x ^ 5}\\4x ^ {\frac {5} {2}}[/tex]