Verified Answer :

DessB

x to the 5 sixth power

Answer:

\(\sqrt[6]{x}=x^{\frac{5}{6}\)

Option 3 is correct.

Step-by-step explanation:

\(\text{Given the expression in words which represents sixth root of x to the fifth power }\)

we have to write in exponential form.

Step 1: sixth root of x can be written as

\(\sqrt[6]{x}=x^{\frac{1}{6}\)

Step 2: Fifth power of sixth root of x

\((x^{\frac{1}{6})^5\)

\(\text{As, }(x^m)^n=x^{mn}\)

\((x^{\frac{1}{6}})^5=x^{{5\times \frac{1}{6}}}=x^{\frac{5}{6}}\)

which implies x to the 5 sixths power.

Option 3 is correct.

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