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

Answer:

The expression can be rewritten in $y^n$ form as following:

⇒  $y^{-\frac{5}{4}}$

where $n=-\frac{5}{4}$

Step-by-step explanation:

Given expression:

$\dfrac{1}{y^{^{\scriptsize\dfrac54}}}$

To rewrite the expression in the form of $y^n$.

Solution:

By property of exponents :

$\frac{1}{x^a}=x^{-a}$

So, we can apply this property to the given expression.

We have:

$\dfrac{1}{y^{^{\scriptsize\dfrac54}}}$

⇒  $y^{-\frac{5}{4}}$

The above expression is in the form of $y^n$ where $n=-\frac{5}{4}$

Answer 2

Answer:

y^7

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