658 prompts matching "Explain why a complex number times its conjugate is real"
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Learn: What closure means for a binary operation
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Learn: What it means for an operation to be commutative
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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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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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Show All Working: An element with no inverse under a given operation
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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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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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Show All Working: Simplifying an expression that mixes the index types
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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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Show All Working: A word problem that leads to an indicial equation
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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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