To rewrite this for better readability and correct any possible issues, I will clarify the task associated with the given expression.

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Evaluate the expression:

[tex]\[ 5^{\frac{1}{3}} \][/tex]

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If the task was to simply present the expression without any additional context or instructions, it is already correctly formatted.



Answer :

To determine [tex]\( 5^{1/3} \)[/tex], we need to find the cube root of 5. Here, we are essentially looking for a number, let's call it [tex]\( x \)[/tex], such that [tex]\( x^3 = 5 \)[/tex].

Finding the exact value can be quite challenging without a calculator, but typically such roots are approximated using numerical methods.

Through calculations, the value of [tex]\( 5^{1/3} \)[/tex] is found to be approximately:

[tex]\[ 5^{1/3} \approx 1.7099759466766968 \][/tex]

This value represents the cube root of 5 to many decimal places, providing a precise understanding of the result.

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