Multiple choice

$(\text{What approximate value will come in place of the questions mark (?) in the following questions?})$ $(64.01^{2} \times 1024^{\frac{1}{5}} \times 33.98^{2} \div (2^{5} \times 16.97^{2}) = 2^{(1/?)})$

  1. 4

  2. 2

  3. .25

  4. 0.5

  5. .09
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Approximate: 64^2 = 4096 = 2^12, 1024^(1/5) = 4 = 2^2, 34^2 ≈ 2^10, 16.97^2 ≈ 2^8. Expression = 2^12 × 2^2 × 2^10 ÷ (2^5 × 2^8) = 2^24 ÷ 2^13 = 2^11. So 2^(1/?) = 2^11, meaning 1/? = 11 or ? ≈ 0.09. Key distractor: 0.5 seems reasonable but doesn't satisfy the equation.

Keep practicing — related questions