755 prompts matching "Power as the rate of doing work"
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Practice: A binary operation set out as a table
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Final Revision: Deciding whether a given rule really is a binary operation
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Common Mistakes: Closure on a set of three elements under a stated rule
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing a*b against b*a for a given rule
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Quiz: Reading commutativity off a symmetrical operation table
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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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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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Practice: Why an identity element must work from both sides
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Final Revision: Identity and inverse together, and what they give the set
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Final Revision: Evaluating a numerical expression using the index laws
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Practice: A fractional index with numerator one, read as a root
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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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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Final Revision: Proving a logarithmic identity from the laws
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WAEC Prep: Solving an exponential equation by taking logarithms of both sides
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