636 prompts matching "Comparing a line arrangement with a circular one"
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Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Spot My Mistake: Finding the inverse of a given element
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Final Revision: Identity and inverse together, and what they give the set
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Spot My Mistake: The law for a quotient raised to a power
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Spot My Mistake: A negative fractional index
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Final Revision: Converting an answer back out of index form
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Learn: Solving an equation by writing both sides to the same base
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Quiz: An indicial equation that becomes a quadratic in a power
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Spot My Mistake: An indicial equation involving fractional bases
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Final Revision: Checking an indicial solution by substitution
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Learn: The definition of a logarithm as the index
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Worked Example: Writing an index statement as a logarithm
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Quiz: Writing a logarithm as an index statement
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