Fractional and Negative Indices
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Non-calculator 1 mark
Write down the value of \(12^{0}\)
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Non-calculator 2 marks(a)
Write down the value of \(7^{-1 }\)
(b)Find the value of \(4^{-2 }\)
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Non-calculator 2 marks(a)
\(a^{ 6 } \times a^n = a^{ 15 }\)
Work out the value of \(n\).
(b)\(a^{ 8 } \div a^n = a^{ 3 }\)
Work out the value of \(n\).
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Non-calculator 2 marks
Express \(\frac{ 7^{ 5 } \times 7^{ 7 } }{ 7^{ 14 } }\) as a single power of 7, in the form \(7^n\) where \(n\) is an integer.
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Non-calculator 3 marks
Write \(64 \div (4^{ m })^{3}\) as a power of 2.
Give your answer in terms of \(m\).
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Non-calculator 1 mark
Write down the value of \(40^{0}\)
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Non-calculator 2 marks(a)
Write down the value of \(7^{-1 }\)
(b)Find the value of \(2^{-2 }\)
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Non-calculator 2 marks(a)
\(p^{ 9 } \times p^n = p^{ 17 }\)
Find the value of \(n\).
(b)\(p^{ 14 } \div p^n = p^{ 12 }\)
Find the value of \(n\).
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Non-calculator 2 marks
Express \(\frac{ 2^{ 7 } \times 2^{ 8 } }{ 2^{ 11 } }\) as a single power of 2, in the form \(2^n\) where \(n\) is an integer.
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Non-calculator 3 marks
Write \(8 \times (4^{ m })^{2}\) as a power of 2.
Give your answer in terms of \(m\).
- \(1\)
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(a) \(\frac{1}{ 7 }\)
(b) \(\frac{1}{ 16 }\) -
(a) \(9\)
(b) \(5\) - \(7^{ -2 }\)
- \(2^{ 6 - 6m }\)
- \(1\)
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(a) \(\frac{1}{ 7 }\)
(b) \(\frac{1}{ 4 }\) -
(a) \(8\)
(b) \(2\) - \(2^{ 4 }\)
- \(2^{ 3 + 4m }\)
Takes a couple of seconds the first time a sheet is made.