Question

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

Answer 1

Numerator= 4
Denominator= 7

Answer 2

Answer: The Numerator of The Exponent =4

The Denominator of The Exponent= 7

Explanation:

The law of radicals says that :-

`\sqrt[n]{t} =t^{(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*(1)/(7)}\\\\=y^{(4)/(7)}`.

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

The Denominator of The Exponent= 7