Question

What will come in place of question mark (?) in the following question?

49^2.31 × 7^0.24 ÷ 2401 ^0.75 × 49^1.59 ÷ 7^-4.5 × 343^-4.55 = 7^?
1. 8.5
2. 8.66
3. -8.5
4. -8.66
5. 8

Answer 1

Correct Answer - Option 4 : -8.66

Given,

49^2.31 × 7^0.24 ÷ 2401^0.75 × 49^1.59 ÷ 7^-4.5 × 343^-4.55 = 7^?

⇒ 7^{2 × 2.31} × 7^0.24 ÷ 7^{4 × 0.75} × 7^{2 × 1.59} ÷ 7^-4.5 × 7^{4 ×-4.55}

⇒ 7^4.62 × 7^0.24 ÷ 7³ × 7^3.18 ÷ 7^-4.5 × 7^-18.2

⇒ 7^{4.62 + 0.24 -3 + 3.18 - (-4.5) + (-18.2)}

⇒ 7^-8.66 = 7^?