728 prompts matching "simplifying an expression with fractional indices"
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Practice: Multiplication distributing over addition in ordinary arithmetic
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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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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Practice: Solving 2 to the power x equals 32
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Practice: Evaluating log to base 2 of 8
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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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Worked Example: The law for the logarithm of a quotient
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Practice: Combining two logarithms into one
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Show All Working: Solving a simple logarithmic equation
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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Show All Working: Comparing logarithms given in different bases
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Common Mistakes: A logarithmic equation that becomes a quadratic
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Worked Example: Writing out the terms of a sequence from its nth term
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Practice: Finding the nth term of a quadratic sequence
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Show All Working: Deciding whether a given number is a term of a sequence
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Practice: Finding the twentieth term of a given arithmetic progression
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