What’s the exponential form of the square root of 4y^5

Answer 1

This problem can be written as (4 x y^5)^1/2.

In this case, we can also say (4)^1/2 x (y^5)^1/2.

The square root of 4 is 2, so that is the result of the first term.

Raising one power to another is equivalent to multiplying the powers, therefore (y^5)^1/2 = y^(5 x 1/2) = y^(5/2) = y^(2.5)

So, our exponential form of the square root of 4y^5 looks like this: 2y^2.5