How do you express 3 power 3 by 2 in radical form?

To express 3 raised to the power of 3/2 in radical form, we start by breaking it down:

First, we can rewrite the exponent 3/2 as follows:

• 3/2 = 1.5, which can also be interpreted as:
  3/2 = 3^(1) * 3^(1/2)

Now, applying the exponent of 3/2, we have:

• 3^(3/2) = (3^3)^(1/2)
• Which simplifies to:
  √(3^3)

Now, since 3^3 equals 27, we can write:

• √(3^3) = √27

Thus, the expression for 3 power 3 by 2 in radical form is:

• √27

In conclusion, 3^(3/2) expressed in radical form is √27.