Answer :
5n7
(7n)5
7 times n to the one fifth power
quantity of 7n to the one fifth power
The rational exponent expression of [tex]\sqrt[5]{7n}[/tex] will be [tex](7n)^\frac{1}{5}[/tex] .
What is rational exponent ?
Rational exponent are exponents of numbers that are expressed as rational numbers, that is, in [tex]a^{\frac{p}{q} }[/tex] form.
i.e. [tex]a^{\frac{p}{q} }=\sqrt[q]{a^n}[/tex]
We have,
[tex]\sqrt[5]{7n}[/tex]
so, Using the mentioned formula,
[tex]a^{\frac{p}{q} }=\sqrt[q]{a^n}[/tex]
[tex]\sqrt[5]{7n}=(7n)^\frac{1}{5}[/tex]
So, this is the rational expression [tex](7n)^\frac{1}{5}[/tex] using above mentioned formula.
Hence, we can say that the rational exponent expression of [tex]\sqrt[5]{7n}[/tex] will be [tex](7n)^\frac{1}{5}[/tex] .
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