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

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