738 prompts matching "Structured question: two compound statements compared row by row"
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Final Revision: Identity and inverse together, and what they give the set
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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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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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Spot My Mistake: The law for a quotient raised to a power
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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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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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Spot My Mistake: A negative fractional index
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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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Worked Example: Solving an indicial equation where one side must be factorised first
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Quiz: An indicial equation that becomes a quadratic in a power
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Practice: Solving 2 to the power x equals 32
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