Verified Answer :

Julik

\(\frac{1}{x^{- \frac{3}{6}} } \\ = \frac{ x^{\frac{3}{6}}}{1} \\= x^{\frac{3}{6}} \\ =x^{\frac{3}{2\times 3} }\\ =x^ \frac{1}{2} \\ = \sqrt[2]{x^1} \\ = \sqrt{x}\)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be rewritten as √x.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression  1/(x^-3/6) can be rewritten as shown below,

\(\dfrac1{x^{\frac{-3}{6}}}\\\\=\dfrac1{x^{\frac{-1}{2}}}\\\\= x^{\frac12}}\\\\= \sqrt x\)

Hence, the given expression can be rewritten as √x.

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