What will come in the place of the question mark ‘?’ in the following question? 2161/3 × 264 × 394 ÷ [124 × 3 × 2-3] = 13?

What will come in the place of the question mark ‘?’ in the following question? 2161/3 × 264 × 394 ÷ [124 × 3 × 2-3] = 13? Correct Answer 8

Concept Used:

1.) Follow the BODMAS rule to solve this question, as per the order given below, 

2. ) a^m × aⁿ = a^{m + n}

3.) (a^m)ⁿ = a^{m × n}

Calculations:

2161/3​ × 264 × 394 ÷ = 13^?

⇒ ((6)³)^1/3 × 26⁴ × 39⁴ ÷ (3⁴ × 2⁸ × 3 × 2^-3) = 13^?

⇒ 6 × (2⁴ × 13⁴) × (3⁴ × 13⁴) ÷ (3⁵ × 2⁵) = 13^?

⇒ (2 × 3 × 2⁴ ×  3⁴ ×13⁴ × 13⁴ ) ÷ (3⁵ × 2⁵) = 13^?

⇒ (2⁵ × 3⁵ × 13⁸) ÷ (35 × 25) = 13?

⇒ 13⁸ = 13^?

⇒ ? = 8 

∴ The value of ? is 8