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3 years ago

What is equivalent to 9 3/4?

Mathematics

1 answer:

Nata [24]3 years ago

6 0

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.

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Step-by-step explanation:

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