Question

Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. \dfrac{1}{y^{^{\scriptsize\dfrac54}}}= y 4 5 ​ 1 ​ =start fraction, 1, divided by, y, start superscript, start superscript, start fraction, 5, divided by, 4, end fraction, end superscript, end superscript, end fraction, equals

Answer 1

The given expression is needed to be written in the the form $y^n$

The required expression is $y^{-\dfrac{5}{4}}$

The given expression is

$\dfrac{1}{y^{\dfrac{5}{4}}}$

We know the identity that a negative exponent means the reciprocal.

$\dfrac{1}{a^b}=a^{-b}$

So, the given expression is

$\dfrac{1}{y^{\dfrac{5}{4}}}=y^{-\dfrac{5}{4}}$

The required expression is $y^{-\dfrac{5}{4}}$

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