Multiple choice

What approximate value should come in place of question mark (?) in the following question? [(4)3 × (5)4] ÷ (4)5 = ?

  1. 30

  2. 40

  3. 35

  4. 25

  5. 45
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using exponent laws: (4)³ × (5)⁴ ÷ (4)⁵ = 4³ × 5⁴ / 4⁵ = 4³/4⁵ × 5⁴ = 1/4² × 5⁴ = 5⁴/4² = 625/16 = 39.0625 ≈ 40. The key is simplifying powers with the same base by subtracting exponents when dividing.

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