Express (2y)3/2 in radical form.

Answer 1

(2y)^3/2 = (√2y)³ = √(2y)√(2y)√(2y) = √(4y²)√(2y) = 2y√(2y)

Answer 2

For any real number a and integers m and n > 1

The Exponential Form a^m/n = n √ a^m The Radical Form

where a = any real number, m = exponential power, n = root index

So, for this example:

a = 2y real number

m = 3 exponential power

n = 2 root index

To find the Radical form, move the root index (2) to the outside of the radical sign (√), then move 2y underneath the radical sign (becomes the radicand), and is all √raised to the 3rd power (m).

2 √ (2y³ )