Question

What is equivalent to 9 3/4?

Answer 1

Step-by-step explanation:

We need to say that $9^{3/4}$ is equivalent to what.

We know that, (3)² = 9

So,

$9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}$

We can write $3^{3/2} =3\times 3^{1/2}$

And $3^{1/2}=\sqrt{3}$

So,

$3\times 3^{1/2}=3\sqrt{3}$

So, $9^{3/4}$ is equivalent to $3\sqrt{3}$.

Hence, this is the required solution.