If (8^a)^b = 1, what must a or b equal? List a possible value for a and b.

Gratzi asked Feb 26, 2023

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21 votes

If (8^a)^b = 1, what must a or b equal?

List a possible value for a and b.

Gratzi asked Feb 26, 2023

3.5k points

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25 votes

Answer:

a = 0, b = 3

Explanation:

$(8^a)^b=1\\\\\implies 8^(ab)=8^0\\\\\implies ab=0$

Possible values for a and b: a = 0, b = 3

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