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Answer:

[tex]x^{2/3}[/tex]

Step-by-step explanation:

Step 1: Convert [tex]\sqrt[5]{x}[/tex] into fraction exponent

[tex](x^{1/5})^{5/6} (\sqrt{x})[/tex]

Step 2: Combine the exponential fractions

[tex](x^{1/6})(\sqrt{x} )[/tex]

Step 3: Convert√x into fractional exponent

[tex](x^{1/6})(x^{1/2})[/tex]

Step 4: Multiply

[tex]x^{2/3}[/tex]

And we have our final answer!

Answer:

x^(2/3) Or (³√x)²

Step-by-step explanation:

This can be rewritten as

x^(1/5 × 5/6) × x^(1/2)

= x^(1/6 + 1/2)

= x^(4/6)

= x^(2/3)

Or (³√x)²

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