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Functions, 2ADV EQ-Bank 27

Simplify  \(\left(27x^6\right)^{\frac{1}{3}} \times(2x)^{-2}\).   (2 marks)

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\(\dfrac{3}{4}\)

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\(\left(27 x^6\right)^{\frac{1}{3}} \times(2 x)^{-2}\) \(=27^{\frac{1}{3}} \times x^{6 \times \frac{1}{3}} \times \dfrac{1}{4 x^2}\)
  \(=3 x^2 \times \dfrac{1}{4 x^2}\)
  \(=\dfrac{3}{4}\)

Filed Under: Algebraic Techniques Tagged With: Band 4, smc-6213-05-Index Laws

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