How do you write the expression $(5x)^-(5/4)$ in radical form?

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Answer 1 · 2017-05-21T12:08:20

$1/((root4 (5x))^5)" or " 1/(root4 ((5x)^5)$

$(5x)^-(5/4)$

The negative index means we take the reciprocal to get:

$1/((5x)^(5/4)$

A fractional index shows a power and a root:

$x^(p/q) = (rootq x)^p or rootq(x^p)$

$1/((5x)^(5/4)) = 1/((root4 (5x))^5) or 1/(root4 ((5x)^5)$

How do you write the expression (5x)^-(5/4)(5x)^-(5/4) in radical form?