755 prompts matching "An aeroplane in a cross-wind, and its resultant track"
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Learn: What an identity element is
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Practice: Why an identity element must work from both sides
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Spot My Mistake: Finding the inverse of a given element
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Quiz: The law for dividing powers of the same base
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Practice: The law for a power raised to another power
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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Learn: Why any non-zero number to the power nought is one
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Practice: A fractional index with numerator one, read as a root
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Practice: Solving 2 to the power x equals 32
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Learn: The definition of a logarithm as the index
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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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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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Final Revision: Proving a logarithmic identity from the laws
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