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. ​

Answer 1

0,1,-1

Explanation:

A.

`(2^6)^x=1\\(2)^(6x)=1=2^0\\6x=0\\x=(0)/(6)=0`

B

`(5^0)^x=1\\5^0=1\\1^x=1\\x=0,1,-1\\1^0=1\\1^1=1\\1^(-1)=(1)/(1^1)=(1)/(1)=1`