Answer:
[tex] x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
We are given the following expression and we are to determine its most simplified form:
[tex] \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } [/tex]
We know that [tex] \sqrt [ 5 ] { x } [/tex] [tex] = x ^ { \frac { 1 } { 5 } } [/tex]
And since we have four of these like terms so the power of x will become 4, thus making it [tex] x ^4 [/tex].
When [tex] x ^ 4 [/tex] is combined with the square root 5, we get:
[tex]x^4 \times x^{\frac{1}{5}} = x^{\frac{4}{5} }[/tex]
