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SingaporeAdditional MathematicsQuick questions

Algebra: Surds, Indices and Polynomials

Quick questions on Laws of indices: N(A)-Level Additional Mathematics

6short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are fractional indices?
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A fractional index is a root combined with a power:
What are solving simple index equations?
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If you can write both sides of an equation as powers of the same base, then the indices must be equal:
What is power before root in am/na^{m/n}?
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Both orders are valid, but rooting first (82/3=22=48^{2/3} = 2^2 = 4) avoids large numbers like 82=648^2 = 64.
What is q1?
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Simplify (x3)2×x(x^3)^2 \times x. [2 marks]
What is q2?
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Evaluate 272/327^{2/3}. [2 marks]
What is q3?
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Solve 3x=193^{x} = \dfrac{1}{9}. [2 marks]

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