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Express each of the following in the form 7^k: (i) the fourth root of 7 [1 mark], (ii) 1 / (7 x sqrt(7)) [2 marks], (iii) 7^4 x 49^10 [2 marks].
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Part (a):
6EDEXCEL C1 June 2011 Q1
Find the value of (a) 25^(1/2) (1 mark), (b) 25^(-3/2) (2 marks).
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Part (a):
7EDEXCEL C1 January 2011 Q1
(a) Find the value of 16^(-1/4) (2 marks). (b) Simplify x(2x^(-1/4))^4 (2 marks).
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Part (a):
8EDEXCEL C1 June 2009 Q2
Given that 32 x sqrt(2) = 2^a, find the value of a. (3 marks)
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Part (a):
9EDEXCEL C1 January 2009 Q1
(a) Write down the value of 125^(1/3) (1 mark). (b) Find the value of 125^(-2/3) (2 marks).
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Part (a):
10Edexcel GCSE June 2019 Paper 1 (Higher) Q8
(a) Work out an estimate for the value of sqrt(63.5 x 101.7) (2 marks). Given that (2.3)^6 = 148 correct to 3 significant figures: (b) Find the value of (0.23)^6 correct to 3 significant figures (1 mark). (c) Find the value of 5^(-2) (1 mark). (Total for Question 8 is 4 marks)
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Part (a):
11EDEXCEL C1 January 2008 Q2
(a) Write down the value of 16^(1/4) (1 mark). (b) Simplify (16x^12)^(3/4) (2 marks).
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Part (a):
12Edexcel A Level June 2019 Paper 2 Q1
Given 2^x x 4^y = 1 / (2 x sqrt(2)), express y as a function of x. (3 marks)
