Question

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)

Answer 1

Anything to the power of 0 is 1.

Answer 2

1 to the power of anything is 1

Answer 3

Part A:
\((7^2)^x=1\)
\(49^x=1\)
\(49^x=49^0\)
\(x=?\)

Answer 4

If not mistaken,
Part B:
\((7^0)^x=1\)
\(1^x=1\)
\(1^x=1^0\) or \(1^x=1^1\) or \(1^x=1^{1000}\)...
which means that the value of x is infinity.