What is 3 to the power of two thirds equal to?

3 to the power of 9

2 to the power of 9

3 to the power of 27

2 to the power of 27

None of those choices.

I suspect a typo.

If you want to check, just type into the google box

3^(2/3)

or any of the choices. You will see that there's no joy.

However,

3^(3^2) = 3^9
2^(3^2) = 2^9
3^(3^3) = 9^(3/2) = 27

To find the value of 3 raised to the power of two-thirds, we can start by understanding that raising a number to the power of two-thirds is the same as finding the square root of that number.

So, in this case, we need to find the square root of 3. Taking the square root of a number means finding a number that, when multiplied by itself, gives the original number.

Using a calculator or any math software, we can find that the square root of 3 is approximately 1.732 (rounded to three decimal places).

Therefore, 3 raised to the power of two-thirds is approximately equal to 1.732.

As for the other options:

1. 3 raised to the power of 9 is calculated by multiplying 3 by itself 9 times, which results in 19683.
2. 2 raised to the power of 9 is calculated by multiplying 2 by itself 9 times, which results in 512.
3. 3 raised to the power of 27 is calculated by multiplying 3 by itself 27 times, which results in a very large number: 7,625,597,484,987.
4. 2 raised to the power of 27 is calculated by multiplying 2 by itself 27 times, which results in an even larger number: 134,217,728.

Therefore, the correct answer is 1.732 for 3 raised to the power of two-thirds.