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QLDMath MethodsQuick questions

Unit 2: Calculus

Quick questions on Indices and the laws of exponents (QCE Math Methods Unit 2)

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 is negative exponent?
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5−2=152=1255^{-2} = \dfrac{1}{5^2} = \dfrac{1}{25}, moving the power to the denominator.
What is rational exponent?
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82/3=(83)2=22=48^{2/3} = (\sqrt[3]{8})^2 = 2^2 = 4, taking the cube root then squaring.
What are same base products?
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2x⋅23x+1=24x+12^x \cdot 2^{3x + 1} = 2^{4x + 1}, adding exponents.
What is iA1?
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Direct application questions: simplify a multi-term expression with mixed positive, negative and fractional exponents, or solve a same-base equation.
What is eA Paper 1?
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Multiple choice on index manipulations and short solve problems.
What is eA Paper 2?
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Used as the algebra step inside a larger problem (an exponential growth model, a calculus-of-exponentials computation).

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