Melody

2^(-4) = 1/ 2^(+4)

@@ What is Happening?  [Wrap4]    Tues 3/11/15   Sydney, Australia Time 10:22pm   ♪ ♫

Hi everyone,

Our wonderful answerers today were  Badbren, Saseflower, Heureka, Cars_456, CPhill, Geno3141 and Will 85237

Interest Posts:

1)  Practical linear functions.   Thanks CPhill

     These are good practice question for middle and upper high school students.

Yes, I am sure he is very busy Rosala :))

10 to the second power means  10² = 10*10 = 100

Yes that is definitely a fishy question.       

If 2x -3 is a factor in 6x^3 + 59x^2 - 25x - 150 then what are the remaining factors

             3x^2  +34x      +38.5

2x-3 |   6x^3 + 59x^2   - 25x - 150

            6x^3  - 9x^2

           --------------------------

                      68x^2     - 25x

                       68x^2 - 102x

                     --------------------------

                                    77x - 150

                                    77x - 115.5

                                    ---------------

                                          -34.5

You premise is wrong    2x-3 is NOT  a factor !!

\(2^{2015}\;*\;5^{2019}\\ =2^{2015}\;*\;5^{2015+4}\\ =2^{2015}\;*\;5^{2015}\;*\;5^{4}\\ =(2*5)^{2015}\;*\;5^{4}\\ =10^{2015}\;*\;625\\ =625\;*\;10^{2015}\\ =6.25*10^2\;*\;10^{2015}\\ =6.25*\;10^{2017}\\\)

That is how I would solve it       

6/2(2+1)=9 HOW??

You must use PEDMAS   or   BODMAS   or whatever you call it in your country.

Brackets (or paranetheses) first

then

exponentials

then

multiply and divide equal important - do from left to right

then

add and subtract, equally important - do from left to right.

6/2(2+1)=9 HOW??

=6/2*(2+1)

=6/2*   3

= 3  *   3

=9

That is how.    

Determine the frequency of light with a wavelength of 1.507 × 10−7 cm. Answer in units of Hz.

This is what I think.

speed of light = c = 3*10^10 cm/sec

your wave is    1.507*10^-7 cm / wavelength

Frequency  is    wavelengths /sec     (called Hertz)

so

\(\frac{3*10^{10}\;cm}{sec}\times \frac{wavelengths}{1.507*10^{-7}\;cm}\\ =\frac{3*10^{10}}{sec}\times \frac{wavelengths}{1.507*10^{-7}}\\ =\frac{3*10^{10}}{1.507*10^{-7}}\times \frac{wavelengths}{sec}\\ =\frac{3*10^{17}}{1.507}\times \frac{wavelengths}{sec}\\ =1.99*10^{17} \;wavelengths/sec\\ =1.99*10^{17} \;Hertz\)

Well aren't you clever :)