NinjaDevo

$${\frac{{\mathtt{1}}}{{{\mathtt{3}}}^{{\mathtt{2}}}}}{\mathtt{\,\times\,}}{\mathtt{6}}$$

$${\frac{{\mathtt{1}}}{{\mathtt{9}}}}{\mathtt{\,\times\,}}{\mathtt{6}}$$

$${\frac{{\mathtt{6}}}{{\mathtt{9}}}}$$

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}$$

(4.1*10^2)(2.4*10^3)/(1.5*10^7) = N  (N is the value of this expression)

(4.1*10²)(2.4*10³)/(1.5*10⁷) = N

(4.1*2.4÷1.5)(10²*10³÷10⁷) = N

N = (6.56*10^-2)           ---Scientific notation :D

or

N = 0.0656               ---Decimal

To make sure this is right, go ahead and put the expression in this website's calculator!

Yeah, I did notice that too Alan. I'm not really sure there's good way to get around that with a somewhat long username though.

And thanks, it really wasn't that hard to make with the right paint program. :)

Hmm, when I did the problem I got -4/3  as an answer.

$${\mathtt{\,-\,}}{\frac{{\mathtt{14}}}{{\mathtt{6}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{6}}}{{\mathtt{6}}}}$$

 $${\mathtt{\,-\,}}{\frac{{\mathtt{8}}}{{\mathtt{6}}}}$$

 $${\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{3}}}}$$

 Any other mathematicians want to double check this so we get the right answer?

$${\mathtt{w}}{\mathtt{\,-\,}}{\frac{{\mathtt{2}}}{{\mathtt{5}}}} = {\frac{{\mathtt{7}}}{{\mathtt{2}}}}$$

add 2/5 to both sides

$${\mathtt{w}} = {\frac{{\mathtt{7}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$

Multiply the numerator/deminator of the first fraction by 5, and the numerator/demoninator of the second fraction by 2. We to this to get a common demoniator so we can add the fractions.

$${\mathtt{w}} = {\frac{{\mathtt{35}}}{{\mathtt{10}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{10}}}}$$

$${\mathtt{w}} = {\frac{{\mathtt{39}}}{{\mathtt{10}}}}$$ 

or

w = 3.9

Let's check it!

w- 2/5=3 1/2 

3.9- 2/5=3 1/2    ---Imput 3.9 (or 39/10) for w

3.9 - .4 = 3.5     ---Make everything a decimal

3.5 = 3.5 ✔

You have to specify what you mean here... this could be 

(³√27) * 6

or

³√27*6

Depending on which problem you're trying to solve, your answer would be

(³√27) * 6 = 3*6 = 18

or

³√27*6 = ³√162 = 5.451361778496419

I'm thinking your probably looking for the first answer.

Good for him.....but...what's the question?

We are calculating

$$\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)$$

We have to start by making the demoninators the same

$$\left({\frac{{\mathtt{9}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{8}}}{{\mathtt{12}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{6}}}{{\mathtt{12}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{4}}}{{\mathtt{12}}}}\right)$$ 

$$\left({\frac{{\mathtt{1}}}{{\mathtt{12}}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{\mathtt{10}}}{{\mathtt{12}}}}\right)$$

$${\frac{{\mathtt{11}}}{{\mathtt{12}}}}$$

This answer can't be reduced at all, this is the simplest term. 11 is the numerator and 12 is the demoninator, so the demoninator of the resulting fraction is 12

I'll do this problem too so you can (hopefully) have a few consistant answers.

(x-4)-(5X+6)= 14

(x) - (4) - (5x) - (6) = 14

(-4x) - (4) - (6) = 14

(-4x) - (10) = 14

          +10    +10              ---Add 10 to both sides

-4x = 24

-(-4x = 24)               ---Times both sides by a minus

4x = -24

x = -6

 Let's check it:

(x-4)-(5X+6)= 14

((-6)-4)-(5(-6)+6)= 14       ---Input -6 for x, because x = -6

(-10) - (-30 + 6) = 14

(-10) - (-24) = 14

(-10) + (+24) = 14              ---Minus a negative is the same as plus a positive

14 = 14 ✔

There we have it, x = -6!