Question

Which expression is the exponential form of square root of 9 y

Answer 1

Answer: 3 * y^(1/2)

Work:
Since the exponential form of any number is simply the number shown as broken down into its smallest pieces, you need to make each term exponential. Its helpful to break the 9 and the y apart when solving this and bring them back at the end. The expression then becomes (square root of 9) * (square root of y).

The square root of 9 can be simplified to 3. 

The square root of y cannot be simplified but can be written in a form such that it becomes y^(1/2). The square root of any number is equal to that same number to the 1/2 power. 

When you combine the terms back together, you are left with 3 * y^(1/2).