4^7 / 4^9 a.) -16 b.) 1/16 c.) 1/8 d.) 8 i've tried different methods of figuring it out but i can't get it? ! you! : )

The correct answer is B) 1/16.

We use the quotient rule of exponents; when dividing two powers that have the same base, subtract their exponents:
4⁷/4⁹ = 4⁷⁻⁹ = 4⁻²

Negative exponents tell us that we should "flip" sides of the fraction; this would mean we have
(4²)⁻¹ = (4²/1)⁻¹ = 1/4² = 1/16