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valina [46]
3 years ago
11

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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