738 prompts matching "Quiz: Solving AX equals B and XA equals B by different routes"
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Spot My Mistake: Checking distributivity from two operation tables
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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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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Practice: The law for a power raised to another power
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Spot My Mistake: The law for a quotient raised to a 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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Final Revision: Converting an answer back out of index form
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Spot My Mistake: An indicial equation involving fractional bases
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Learn: The definition of a logarithm as the index
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