Question

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

Answer 1

Answer:

a = 0, b = 3

Step-by-step explanation:

• Exponent rule: $(a^b)^c=a^{bc}$

• The zero exponent rule:  $a^0=1$

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

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