Question

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Answer 1

`\sqrt[10]{4}`

Explanation:

Apply power to power rule on the exponents,
`(2)/(5)*(1)/(4) = (1)/(10)` when simplified

`4^(1)/(10)` is also the same as
`\sqrt[10]{4}`

Answer 2

`\sqrt[10]{4}`

Explanation:

We know that,

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

By following those, let us solve the given expression.

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