Chapter 2: Surds, indices and exponentials Notes
Rational and irrational numbers, operations with surds, binomial products and rationalising denominators, fractional indices, exponential equations and exponential growth and decay.
Sections
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2A Surds, binomial products and rationalising Mastered
Rational and irrational numbers, simplifying and operating with surds, expanding binomial products with surds, conjugates, and rationalising the denominator.
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2B Fractional indices Mastered
Fractional indices as roots and powers, evaluating expressions like 8^(2/3), and applying index laws with fractional and negative indices.
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2C Exponential equations Mastered
Solving exponential equations by writing both sides with the same base, including fractional and negative solutions.
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2D Exponential growth and decay Mastered
Exponential graphs y = a^x, growth and decay models A = A₀(1 ± r)^n, half-life and doubling, and using trial and error or graphs to find when a value is reached.
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