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14-02-2022
Mathematics

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

List a possible value for a and b.

Respuesta :

semsee45 semsee45

14-02-2022

Answer:

a = 0, b = 3

Step-by-step explanation:

Exponent rule: [tex](a^b)^c=a^{bc}[/tex]

The zero exponent rule: [tex]a^0=1[/tex]

[tex](8^a)^b=1\\\\\implies 8^{ab}=8^0\\\\\implies ab=0[/tex]

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

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