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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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728 prompts matching "simplifying an expression with fractional indices"

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Common Mistakes: Distributivity on a set of three elements

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Worked Example: The law for multiplying powers of the same base

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Common Mistakes: Why the index laws need the bases to match

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Worked Example: Rewriting a negative index as a fraction

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Practice: Solving 2 to the power x equals 32

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Practice: Evaluating log to base 2 of 8

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Show All Working: The common logarithm, to base ten

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Common Mistakes: Reading a logarithm from a table

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Worked Example: The law for the logarithm of a quotient

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Practice: Combining two logarithms into one

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Show All Working: Solving a simple logarithmic equation

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Show All Working: Comparing logarithms given in different bases

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Worked Example: Writing out the terms of a sequence from its nth term

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Practice: Finding the nth term of a quadratic sequence

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Show All Working: Deciding whether a given number is a term of a sequence

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Practice: Finding the twentieth term of a given arithmetic progression

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