Question

simplify ∜6/⁵√6

a) 6¹/⁵
b) 6⁹/²⁰
c) 6¹/²⁰
d) 6⁵/⁴

Answer 1

Two rules come in handy here:

• $\dfrac{a^m}{a^n}=a^{m-n}$
• $\sqrt[c]{x^r}=x^{\frac{r}{c}}$

So we have

$

\dfrac{\sqrt[4]{6}}{\sqrt[5]{6}}=\dfrac{6^{\frac{1}{4}}}{6^{\frac{1}{5}}}=6^{1/4-1/5}=\boxed{6^{9/20}}

$

The answer is B.

Hope this helps.