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What is 25^ 15^ + 15^ 50^ + 25^ 50^ equal to?

Options

  1. A0
  2. B1
  3. C2
  4. D4

Correct answer

B. 1

Step-by-step solution

aligned & 25^ 15^ + 15^ 50^ + 50^ 25^ & = 15^ ( 15^ + 50^ )+ 50^ 25^ & (1) & 75^ = 25^ + 50^ 1- 25^ 50^ = 15^ & 25^ + 50^ = 15^ (1- 25^ 50^ ) & Put in (1) & 15^ 15^ (1- 25^ 50^ ) & =1- 25^ 50^ + 50^ 25^ + 50^ 25^ & =1 aligned

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