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Functions, 2ADV EQ-Bank 28

Simplify  \(\left(16p^8\right)^{\frac{3}{4}} \ ÷\ (2p)^3\).   (2 marks)

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\(p^3\)

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\(\left(16^{\frac{1}{4}} \times p^{8 \times \frac{1}{4}}\right)^3 \ ÷\ 8 p^3\) \(=\dfrac{\left(2 p^2\right)^3}{8 p^3}\)
  \(=\dfrac{8 p^6}{8 p^3}\)
  \(=p^3\)

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

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