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KCET2021MathematicsTrigonometric Ratios & Identities

The value of 1^ 2^ 3^ 89^ is

Options

  1. A0
  2. B1
  3. C1 2
  4. D-1

Correct answer

B. 1

Step-by-step solution

Given, 1^ 2^ 3^ 89^ aligned &= 1^ 2^ 3^ 87^ 88^ 89^ &= 1^ 2^ 3^ (90-3^ ) & (90-2)^ (90-1)^ aligned = 1^ 2^ 3^ 3^ 2^ 1^ = 1^ 1^ 2^ 2^ 3^ 3^ 45^ = (1) (l) (l) ... (1) =1

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