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:

• 
  `(a^m)/(a^n)=a^(m-n)`
• 
  `\sqrt[c]{x^r}=x^{(r)/(c)}`

So we have

`</p><p>\frac{\sqrt[4]{6}}{\sqrt[5]{6}}=\frac{6^{(1)/(4)}}{6^{(1)/(5)}}=6^(1/4-1/5)=\boxed{6^(9/20)}</p><p>`

The answer is B.

Hope this helps.