Question

Simplify: ⁵√x¹⁶

A. x⁴
B. x⁸
C. x⁵√x³
D. x³ ⁵√x

Answer 1

you can break up the root into sets of perfect 5th roots to make things easier\[\sqrt[5]{x ^{5}}\sqrt[5]{x ^{5}}\sqrt[5]{x ^{5}}\sqrt[5]{x}\]

Answer 2

this leaves \[x*x*x*\sqrt[5]{x}\]
which simplifies to
\[x ^{3}\sqrt[5]{x}\]