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MHT CET202615 April 2026Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If 33 = , then the value of 2 4 8 16 is

Options

  1. A1 16
  2. B1 32
  3. C1 64
  4. D-1 32

Correct answer

B. 1 32

Step-by-step solution

Let P = 2 4 8 16 Multiplying and dividing by 2 , we get: P = 2 2 4 8 16 2 Using the identity (2x) = 2 x x repeatedly: P = 2 2 4 8 16 2 P = 4 4 8 16 4 P = 8 8 16 8 P = 16 16 16 P = 32 32 Given 33 = , we have 32 = - Therefore, 32 = ( - ) = Substituting this back into the expression for P : P = 32 = 1 32 Answer: 1 32

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