Questions: Convert to radical notation. x^(1/9) =

Transcript text: Convert to radical notation. \[ x^{1 / 9}= \]

Solution

Step 1: Understand the exponent notation

The expression \( x^{1/9} \) represents a fractional exponent, where the numerator is 1 and the denominator is 9.

Step 2: Convert the fractional exponent to radical notation

A fractional exponent of the form \( x^{1/n} \) can be rewritten as the \( n \)-th root of \( x \). In this case, \( n = 9 \).

Step 3: Write the expression in radical form

Using the rule from Step 2, \( x^{1/9} \) is equivalent to \( \sqrt[9]{x} \).

\[ x^{1/9} = \sqrt[9]{x} \]

\(\boxed{\sqrt[9]{x}}\)

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