755 prompts matching "IGCSE Additional Maths Y11: Differentiating a term with a negative index — Spot"
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Common Mistakes: Distributivity on a set of three elements
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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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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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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Practice: The law for a power raised to another power
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Explain Back: The law for a product raised to a power
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Common Mistakes: Why the index laws need the bases to match
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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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Practice: Solving 2 to the power x equals 32
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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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Worked Example: Writing an index statement as a logarithm
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Practice: Evaluating log to base 2 of 8
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Explain Back: The logarithm of one, in any base
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Show All Working: The common logarithm, to base ten
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Common Mistakes: Reading a logarithm from a table
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