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Write 8^2(4^2 / 2^7) in the form 2^x

We know that 8 2 = (2 3 ) 2 = 2 6 and 4 2 = (2 2 ) 2 = 2 4 So we can write the original expression as 2 6 (2 4 /2 7 ) Then using indices laws we get 2 6 (2 -3 ) = 2 3
CC
Answered by Charlotte C. • Maths tutor
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Solve the simultaneous equations y – 3x + 2 = 0, y^(2) – x – 6x^(2) = 0

Start on the easiest equation and solve to find yy-3x+2=0 <=> y=3x-2Then susbtitute in equation the expression of y in the second equation and simplify(3x-2) 2 -x-6x 2 =0 <=> 9x 2 -12x+4-x-6x 2 =...
MP
Answered by Maria P. • Maths tutor
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Under which conditions does CH4 have the same number of molecules as 100cm^3 of O2 at 27 degrees celsius and 1.0x10^5 Pa?

Options:A: 50cm^3, 54 degrees celsius, 1.0x10^5 Pa B: 50cm^3, 327 degrees celsius, 1.0x10^5 PaC: 100cm^3, 54 degrees celsius, 2.0x10^5 PaD: 100cm^3, 327 degrees celsius, 2.0x10^5 Pa The equation to use in th...
TP
Answered by Tom P. • Chemistry tutor
9769 Views

Probability: These 6 coins are in a box - 10p, 10p, 10p, 20p, 20p, 50p. Someone takes 2 coins at random. What is the probability that the total value of the two coins is at least 40p?

The question has a number of important points which should be highlighted before beginning. Firstly the fact that the picks are at random. Secondly that the value of the coins must be at least 40p, so a tota...
TP
Answered by Tom P. • Maths tutor
8810 Views

How would I go about finding the coordinates minimum point on the curve eg y = e^(x) - 9x -5?

In order to find the coordinates of the minimum point of any curve y = f(x), you must differentiate the equation of the curve with respect to x and then equate it to zero.In this case, the differential of th...
TR
Answered by Theo R. • Maths tutor
4023 Views