Question

Rewrite the expression

Answer 1

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

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

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

$Used:\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}$