Question

Part A: If (6²)x = 1, what is the value of x? Explain your answer.

Part B: If (6⁰)x = 1, what are the possible values of x? Explain your answer.

Answer 1

In Part A, x is equal to 1/36. In Part B, there are infinitely many possible values for x.

Step-by-step explanation:

Part A: The given equation is (6²)x = 1. Since 6² is equal to 36, we can rewrite the equation as 36x = 1. To solve for x, we divide both sides of the equation by 36. This gives us x = 1/36.

Part B: The given equation is (6⁰)x = 1. Since any number raised to the power of 0 is equal to 1, we can rewrite the equation as 1x = 1. This means that x can take on any value, as long as the equation remains true. Therefore, there are infinitely many possible values for x.