To convert the given radical expression \sqrt[3]{x^9} to its rational exponent form and then simplify

Trent Carpenter

Trent Carpenter

Answered question

2021-08-12

To convert the given radical expression x93 to its rational exponent form and then simplify
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Answer & Explanation

Ezra Herbert

Ezra Herbert

Skilled2021-08-13Added 99 answers

The answer is given below
Vasquez

Vasquez

Expert2021-12-28Added 669 answers

Step 1

The given expression can be written as:

x93=(x9)13   ( Since an=a1n)

x93=(x9×13)( Since (am)n=amn)

x93=(x93)

x93=x3

Therefore, the given radical expression to its rational exponent form is given by x93=(39)13 and the simplified form is given by x93=x3

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