Exponents and Exponential Functions

In the response be sure to discuss:

• How rational exponents are related to radicals
• How to evaluate expressions involving rational exponents

Use 4 examples in total to show understanding, in the following forms:

1. a) Simplify the following expressions.Write final answers using positive exponents. Be sure to show all work.

(i) (ii)

b) Evaluate each expression above when a = 16 and b = 2.

1. Create and answera word problem involving an exponential function with a growth rate of 12%. The problem should include multiple parts.make up the initial value. In the word problem ask questions which show you can do the following:

• Create an equation from a word problem.

(Make sure to fully describe the scenario in words to see how to understand how to create the equation. Don't just give an equation.)

• Evaluate the function at a given point in time
• "Guess and check" to find the value of the exponent
• Create an equation for the function based on the doubling time