Let a1 and a2 be two arithmetic means and g1, g2, and g3 be three geometric means of two distinct positive numbers. Then g41 g42 g43 g21g23 is equal to:
a) g1⁴ * g2⁴ * g3⁴ * a1² * a2³
b) g1⁴ * g2⁴ * g3⁴ * a1³ * a2²
c) g1⁴ * g2⁴ * g3⁴ * a1² * a2²
d) g1⁴ * g2⁴ * g3⁴ * a1³ * a2³
