Which of the following is the simplified form of [1] fifth root of x times the [2] fifth root of x times [3] the fifth root of x times [4] the fifth root of x?
That's
[tex] ( \sqrt[5] x)^4 = x^{\frac 4 5}[/tex]
That looks like the second choice.
Answer:
[tex](\sqrt[5]{x})^4=x^\frac{4}{5}[/tex]
Step-by-step explanation:
[tex]\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x}[/tex]
Simplify the given expression
we have fifth root repeating 4 times , so we put exponent 4
like [tex]x*x*x*x= x^4[/tex]
[tex]\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x}[/tex]
[tex](\sqrt[5]{x})^4[/tex]
Now we convert radical form into exponential form
[tex]\sqrt[n]{x^m} = x^\frac{m}{n}[/tex]
[tex](\sqrt[5]{x})^4=x^\frac{4}{5}[/tex]
