Question

Part A: If (2^6)^x = 1, what is the value of x? Explain your answer. (5 points)

Part B: If (5^0)^x = 1, what are the possible values of x? Explain your answer. (5 points)

Answer 1

The answer to part A is
`x=0`

The answer to part B is that x can be all positive integers

For part A
`x` must be zero to make the equation 1 because any number to the power of 0 is 1

For part B
`5^0`
`=1` and no matter what power 1 is to the solution will always be 1.