675 prompts matching "Raising a complex number to a power by de Moivre's theorem"
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Show All Working: An element with no inverse under a given operation
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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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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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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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Final Revision: Converting an answer back out of index form
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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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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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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