John H. answered • 05/13/20

Retired Air Force Major - I Can Help You Succeed in ASVAB Math & Sci

The questioner didn't rewrite the question properly... " y-2y8y-6 " should actually be

written as « y^{-2} y^{8} y^{-6} ».

Using the exponent rules for algebra, the expression is simplified as follows:

y^{-2} y^{8} y^{-6} = y^{[ -2 + 8 + (-6) ]} = y^{0} = 1

and thus, the answer is "b".