Simplify square root of 5 multiplied by the cube root of 5.

5 to the power of 5 over 6
5 to the power of 1 over 6
5 to the power of 2 over 3
5 to the power of 7 over 6

5 to the power of 5 over 6 =

Step-by-step explanation:

1)Let's define some properties about exponent:

For example :

2)Another property of exponent is :

For example :

This means that when we have two exponential functions with the same base that are multiplying between them, we can sum the exponents in order to make a new exponential function with the same base.

Using this two properties we can solve the problem.

Now,

Therefore, the final expression is

⇒

The correct answer is :

5 to the power of 5 over 6.