728 prompts matching "simplifying an expression with fractional indices"
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Common Mistakes: Checking an inverse by working the operation both ways
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Practice: The law for a power raised to another power
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Worked Example: Solving an indicial equation where one side must be factorised first
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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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Explain Back: The logarithm of one, in any base
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Practice: The relation between log a of b and log b of a
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Worked Example: Finding the common difference of an arithmetic progression
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Practice: Finding n when the sum of an arithmetic progression is given
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Explain Back: Finding the first term from the sum and the common difference
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Common Mistakes: Inserting a geometric mean between two numbers
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Worked Example: Which form of the sum formula to use when r is less than one
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Explain Back: The sum of a geometric progression with a negative common ratio
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Show All Working: The sum to infinity of a geometric progression, and when it exists
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Common Mistakes: A bouncing ball problem, and the total distance travelled
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Show All Working: Writing the solution of an inequality as a set
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Common Mistakes: A double inequality such as 2 less than x less than 7
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