(4 x 4 x 4 x 4 x 4 x 4)5 x (4 x 4 x 4)8 ÷ (4)3

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(4 x 4 x 4 x 4 x 4 x 4)⁵ x (4 x 4 x 4)⁸ ÷ (4)³ = (64)^?

1. 17
2. 10
3. 16
4. 11
5. None of the above

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)^?
⇒ (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 ?}
⇒ 4⁵¹ = 4^{3 x ?} ⇒ 3 x ? = 51
∴ ? = 51/3 = 17