Melody

Your question doesn't make sense but perhaps you mean what happens if you raise a number to the power of 0.

Well if the number is 0 then the question does not make any sense.

If the number is not 0 then the answer is always 1

example :

\(3^0=1\\ (\frac{3}{5})^0=1\\ 0^0\;\;is\;\;undefined\)

Thanks Hectictar :)

You can do it by looking at a factor tree

240

=2*120

=2*2*60

=2*2*2*30

=2*2*2*2*15

=2*2*2*2*3*5

So 2,3 and 5 are the prime factors of 240.

I CAN DO THIS BIT ON THE WEB2.0 CALC

factor(240) = (2^4*3)*5

Now i am going to find all of them

240=2*120

240=3*80

240=4*60

240=5*48

240=6*40

240=8*30

240=10*24

240=12*20

240=15*16

There is not going to be any more factors becaseu there are no whole numbers between 15 and 16.

I have only just realised that this is identical to what Hectictar did. Sorry Hectictar ://

Hi,

You should look through this unit :))

how can you put (7.7×108)×(4.9×10−5) as a scientific notation.

Thanks X squared, yours is a good answer too :))

I think you mean  (7.7×10^8)×(4.9×10^−5)

You use the ^ (calleded a hat, or more correctly still a caret) to indicate a power.

\( (7.7×10^8)×(4.9×10^{−5})\\ =7.7\times 4.9 \times 10^{8+-5}\\ =7.7\times 4.9 \times 10^{8+-5}\\ =37.73 \times 10^{3}\\ =3.773 \times 10^1 \times 10^{3}\\ =3.773 \times 10^4 \)

You are very observant about those first letters ZZZ...  but your logic is just a little off :))

There are t students taking all three and the rest take only 1 language so

The number taking only Oriya is x-t

The number taking only Dakhini is y-t

The number taking only Dutch is z-t

So the number of students altogether is  

x-t  +  y-t  +  z-t  +  t   = x+y+z-2t

Thanks but the poster would probably like to see a more detailed reponse.

The first two terms of a geometric progression are 4 and  –6.  What is the 4th term?   

a=4 and d=-6-4=-10

\(T_n=a+(n-1)d\\ T_4=4+(4-1)*(-10)\\ T_4=4+(3)*(-10)\\ T_4=4+-30\\ T_4=-26\\ \)

Suppose that X and Y are positive and X>Y. Explain why we must have x^2>y^2.

Well you could just say it is obvious but I guess that would not get you any brownie points.

What about:

Let X=Y+n where X,Y and n are all positive

\(X^2=(Y+n)^2=Y^2+n^2+2nY=Y^2+\text{a positive number}\\ \therefore\\ X^2>Y^2\)

what percentage is 800 square feet of 43560 square feet

800/43560*100 = 1.8365472910927456

approx  1.84%

Alan or Heureka may be able to help you. I do not think I can  

78*log(n,2)*sqrt(n) + 10000 = 2n

\(78*log_2n*\sqrt{n} + 10000 = 2n\\ 78*\sqrt{n}*log_2n+ 10000 = 2n\\\)