What is 3 to the power of two thirds equal to?
^3 square root of 9
^2 square root of 9
^3 square root of 27
^2 square root of 27
3^(2/3)=*3^(1/3) )^2 which is the cube root of 3 squared,
or
3^(2/3)=(3^2)^1/3 which is the cube root of 9 (or the cube root of 3 squared)
is it a
To find 3 to the power of two thirds, we can rewrite it as the cube root of 3 squared. Therefore, 3^(2/3) is equal to the cube root of 3 squared, which is the cube root of 9. So, the answer is ^3 square root of 9.
To solve this problem, we need to remember the rules of exponentiation. When we raise a number to the power of a fraction, such as 2/3, it is equivalent to taking the 2/3 root of that number.
In this case, we want to find 3 to the power of two-thirds. This means we need to find the two-thirds root of 3.
To do this, we can use the property of radical notation. The nth root of a number can be represented as the number raised to the power of 1/n.
So, to find the two-thirds root of 3, we can rewrite it as 3 raised to the power of 1/3.
We can then simplify this expression by noting that the exponent 1/3 is the same as taking the cube root.
Therefore, 3 raised to the power of two-thirds is equal to the cube root of 3, which can be written as ^3√3.
So, the correct answer is "cube root of 3" or "^3√3".