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Write the following expression using rational exponents:


7SQRT(y^4) =y^?


The Numerator of The Exponent Is:



The Denominator of The Exponet Is:


SQRT means Square Root

Verified Answer :

Numerator= 4
Denominator= 7

Answer: The Numerator of The Exponent =4

The Denominator of The Exponent= 7

Step-by-step explanation:

The law of radicals says that :-

\(\sqrt[n]{t} =t^{\frac{1}{n}}\)

The given expression: \(\sqrt[7]{y^4}\)

By using law of radicals the above expression will be equivalent to

\(\sqrt[7]{y^4}\\\\=y^{4\times\frac{1}{7}}\\\\=y^{\frac{4}{7}}\).

Now it can be seen that , the Numerator of The Exponent =4

The Denominator of The Exponent= 7