TCE Maths Methods Foundation

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Sample original practice question

Try a TCE Maths Methods Foundation question

Which expression is equal to (16x⁸)^(3/4)?

  • 12x⁶
  • 8x⁶
  • 64x⁶
  • 8x^(35/4)
Show the worked answer

Answer: B

16^(3/4) = (⁴√16)³ = 2³ = 8 and (x⁸)^(3/4) = x⁶, so the result is 8x⁶. Option A multiplies 16 by 3/4; option C cubes 4 instead of 2; option D adds the indices instead of multiplying.

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The TCE Maths Methods Foundation Mastery Pack includes revision notes, original practice exams, answer guides, practice questions and flashcards. Open the hub for the full contents list and resource previews.

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