755 prompts matching "Structured question: simplifying a surd raised to a fractional index"
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Practice: Why an identity element must work from both sides
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Explain Back: What an inverse element is
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Spot My Mistake: Finding the inverse of a given element
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Common Mistakes: Checking an inverse by working the operation both ways
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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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Quiz: An indicial equation that becomes a quadratic in a power
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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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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Explain Back: The logarithm of one, in any base
I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.
Spot My Mistake: The logarithm of the base itself
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Common Mistakes: Reading a logarithm from a table
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Final Revision: The characteristic and the mantissa of a logarithm
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Learn: The law for the logarithm of a product
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Worked Example: The law for the logarithm of a quotient
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Quiz: The law for the logarithm of a power
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Spot My Mistake: Evaluating an expression using the laws of logarithms
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Final Revision: Proving a logarithmic identity from the laws
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