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What is 7 to the power of 8? (

Rearrange to (7 4 ) 2 = ((7 2 ) 2 ) 2 7 2 = 49(7 2 ) 2 = 49 2 = (50-1) 2 = 50 2 - 2x50 + 1 = 24017 8 = (7 4 ) 2 =((7 2 ) 2 ) 2 = 2401 2 = (2000 + 400 + 1) 2 = 5,764,801
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Answered by Michael H. • Maths tutor
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The numbers a, b, c and d satisfy the following equations: a + b + 3c + 4d = k; 5a = 3b = 2c = d. What is the smallest value for k for which a, b, c and d are all positive integers

5a = 3b = 2c = d. d must be a multiple of 5, 3 and 2, therefore the smallest possible value for d is 30. This sets a = 6, b = 10 and c = 152) a + b + 3c + 4d = 6 + 10 + 3x15 + 4x30 = 181 k = 181
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Answered by Michael H. • Maths tutor
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Explain why excited atoms only emit certain frequencies of radiation after an electron collides with the atom

Radiation is emitted via photons2) Photon energy is governed by the equation E = hc/wavelength, where h = the Planck constant and c = the speed of light. Both h and c are constants3) Electrons have discrete ...
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Answered by Michael H. • Physics tutor
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What does it mean that the UK has a common law legal system, and how is this different to a civil law one?

A common law system of laws, as used in the UK, predominantly develops through decisions made by judges in courts in the UK. This creates a body of binding laws based on precedent, whereby lower courts are b...
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Answered by Eve F. • Law tutor
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How would I answer a question on love/music in this unseen passage from The Mill on the Floss?

Great question. I've had a look over the passage and decided to focus on the extract below to give you an idea of how I'd go about approaching a close analysis. I think the key here is to 1) underline any ev...
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