Rewrite the expression

What is the radical expression that is equivalent to the expression (35)^1/4?
Enter your answer as a radical.







Respuesta :

gmany

[tex]\sqrt[n]{a^m}=a^\frac{m}{n}[/tex]


[tex]35^\frac{1}{4}=\sqrt[4]{35}[/tex]


[tex](3^5)^\frac{1}{4}=3^{5\cdot\frac{1}{4}}=3^\frac{5}{4}=3^{1\frac{1}{4}}=3\cdot3^\frac{1}{4}=3\sqrt[4]3[/tex]


[tex]Used:\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}[/tex]