Correct Option: A

(4 x 4 x 4 x 4 x 4 x 4)⁵ x (4 x 4 x 4)⁸ ÷ (4)³ = (64)^?
Apply the law of Fractional Exponents and Laws of Exponents
if a multiply n times a x a x a x....up to n times, then
a x a x a x a ......up to n times = aⁿ
By simplifying the equation
⇒ (4⁶)⁵ x (4³)⁸ x 1/(4)³ = (4³)^?
⇒ (4)³⁰ x (4)²⁴/(4)³ = (4)^{3 x ?}
⇒ 4^{30 + 24 - 3} = 4^{3 x 7}
And comparing the exponents both the sides
⇒ 4⁵¹ = 4^{3 x ?} ⇒ 3 x ? = 51
∴ ? = 51/3 = 17