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IB Mathematics: Applications and Interpretation SL · 12.6: Exponents & Logarithms · 12.6.1

Laws of exponents Problem set B Answers

Skills

  1. \(80x^{3}\)

    1. (a) \(\frac{1}{81}\)
    2. (b) \(\frac{125}{8}\)

  3. \(2x^{10}\)

    1. (a) \(\frac{1}{125}\)
    2. (b) \(\frac{8}{27}\)
    3. (c) \(\frac{3}{4}\)
    1. (a) \(6.13\times10^{-5}\)
    2. (b) \(2.1\times10^{-2}\)
    3. (c) \(3.84\times10^{8}\)
    4. (d) \(3\times10^{6}\)

In context

    1. (a) \(24\) units
    2. (b) \(\frac{3}{2}\) units
    1. (a) \(135\)
    2. (b) \(\frac{5}{9}\)
    1. (a) \(5.05\times10^{12}\) bytes
    2. (b) 4.94

Stretch

  1. \(6x^{3}\)

jmaths.xyz · AI SL · 12.6.1 Laws of exponents: negative and fractional indices