755 prompts matching "Give me practice on logical equivalence"
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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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Explain Back: What an inverse element is
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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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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Show All Working: Simplifying an expression with letters and indices
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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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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Show All Working: Simplifying an expression that mixes the index types
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Solving an indicial equation where one side must be factorised first
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Spot My Mistake: An indicial equation involving fractional bases
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Show All Working: A word problem that leads to an indicial equation
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Common Mistakes: An indicial equation solved by substitution
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