PLEASE HELP (85 points) Part A: If (7^2)^x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (7^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)

Part A

x = 0

Explanation:

Anything to the 0th power exponent is equal to 1, as long as the base isn't 0 itself. So (7^2)^x = (7^2)^0 = 1.

Part B

x = any real number you want

Explanation:

The 7^0 evaluates to 1, due to the rule discussed back in part A.

This means (7^0)^x = 1 becomes 1^x = 1. We can replace x with any real number and we would have 1^x always evaluate to 1.

For instance, if x = 3, then 1^x = 1^3 = 1*1*1 = 1. Multiplying out a string of 1's leads to 1 as the final result. We could even have 1^0 and we'd still evaluate to 1.

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !