MaxWong

0.23 x 13 = 2.99 m <--- That's really long!!

\((8x^3 - 2)(x^3 -7)\\ = 8x^6 - 2x^3 - 56x^3 + 14\\ = 8x^6 - 58x^3 + 14\)

\((8y-11)^2 = 169\\ 64y^2 - 176y + 121 = 169\\ 64y^2 - 176y -48 = 0\\ 16y^2 - 44y - 12 = 0\\ 4y^2 - 11y - 3 = 0\\ (y-3)(4y+1) = 0\\ y = 3 \text{ or }y = -\dfrac{1}{4}\)

I think what you have done is just taking square roots for both sides, but this method cannot always give all the answers to a polynomial equation.(including quadratics)

F double sharp simply equals G........

It's OK that you don't get it.

22! = 1 x 2 x 3 x 4 x 5 x 6 x ...... x 22 .

Therefore the definition of n! is 1 x 2 x 3 x 4 x ........ (way until n.)

I would prefer doing it that way:

\(\color{orange}\dfrac{5}{6}\times 2.15 = \dfrac{5\times2.15}{6}=\dfrac{10.75}{6}=\dfrac{10.75 \times 4}{24}=\dfrac{43}{24}=1\dfrac{19}{24}\)

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That is cookie coloured!! :)

Because there are 12 zeros after the 4 and 12 zeros after the 3, the product will have 12 + 12 = 24 zeros.

multiply the first two numbers : 4 x 3 = 12

Add the 24 zeros after it, Answer = 12,000,000,000,000,000,000,000,000. :)

Or if you need it in scientific notation, that is 1.2022644346 x 10^(-6)

We have the formula: (pH value) = - log (H+ value) <--- Here the log is in base 10.

Therefore we have the equation:

Let x 

5.92 = - log (x)

log (x) = -5.92

x = 10^(-5.92) approx. 0.0000012022644346

:) I think I know the answer.

Convert 1/7 into a hexadecimal number and give the first 10 digits:

1st Multiplication Iteration: 1/7 x 16 = 16/7 , Fractional Part = 2/7, Carry = 2

2nd M. I. : 2/7 x 16 = 32/7 , Fractional Part = 4/7, Carry = 4

3rd  M. I. : 4/7 x 16 = 64/7, Fractional Part = 1/7, Carry = 9

4th M.I. : 1/7 x 16 = 16/7 <----- You see it is repeating....... The hexadecimal fraction have the same nature as the decimal fraction.......

1/7 in hexadecimal system = 0.2492492492.........

First 10 digits.