Answered

Simplify


\(\sqrt[6]{x} ^{16}\)

A\(x^{8}\)

BX\(\sqrt[6]{x} ^{16}\)

C\(x^{2}\)\(\sqrt[6]{x} ^{4}\)

D\(x^{6}\)*\(\sqrt[5]{x} ^{4}\)

Verified Answer :

apologiabiology

if you mean \(\sqrt[6]{x^{16}}\) and not \((\sqrt[6]{x})^{16}\)  then

remember\(\sqrt[n]{x^m} =x^ \frac{m}{n}\)
and
\(x^{m+n}=(x^m)(x^n)\)
so
\(\sqrt[6]{x^{16}}= x^\frac{16}{6}=(x^\frac{12}{6})(x^\frac{4}{6})\)=
\((x^2)(x^\frac{4}{6})=x^2 \sqrt[6]{x^4}\)

C is answer


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