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

Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.

User Abhi Adr
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1 Answer

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Explanation:

A.


(6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0

Every number to the power of 0 gives us 1


a^0=1\ \text{for}\ a\in\mathbb{R}

B.


(6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}

1 to the any power gives us 1.


1^n=1\ \text{for}\ n\in\mathbb{R}

User Michel Keijzers
by
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