Respuesta :

genevabarosa

Answer:

[tex]\sqrt[10]{4}[/tex]

Step-by-step explanation:

Apply power to power rule on the exponents, [tex]\frac{2}{5}*\frac{1}{4} = \frac{1}{10}[/tex] when simplified

[tex]4^\frac{1}{10}[/tex] is also the same as [tex]\sqrt[10]{4}[/tex]

Hi1315

Answer:

[tex]\sqrt[10]{4}[/tex]

Step-by-step explanation:

We know that,

[tex](a^{x} )^y=a^x^y\\\sqrt{x} =x^{\frac{1}{2} } \\x^\frac{1}{y} =\sqrt[y]{x}[/tex]

By following those, let us solve the given expression.

[tex](4^\frac{2}{5} )^\frac{1}{4} \\\\4^\frac{2*1}{5*4} \\\\4^\frac{2}{20} \\\\4^\frac{1}{10}\\\\\sqrt[10]{4}[/tex]

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