Question

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

List a possible value for a and b.

Answer 1

a = 0, b = 3

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