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You have two choices: Multiply directly or simplify first. 

Note that you can divide 10 and 24 by 2 -->

7/5 * 12/7

Now, cross out the 7's -->

1/5 * 12/ 1

12/5

You are left with 12/5 or 2.4.

What needs to be done here?

Refer to this video

https://www.youtube.com/watch?v=XXhbThOITLQ

Find the molar mass of SNH:

S = 32 g/mol

N = 14 g/mol

H = 1 g/mol

32 + 14 + 1 = 47 g/mol.

Now, 188.35 / 47 = ~4.

We need 4 of each element.

This means that SNH (Empirical formula) --> S₄N₄H_4. (Molecular formula).

Let's set up an equation after defining some variables:

L = length & W = width

L = 2W + 7 (length is 7 more than twice the width)

Perimeter of a rectangle is 2L + 2W...

2(2W + 7) + 2W = 44.

Distribute the 2.

4W + 14 + 2W = 44.

Combine like terms and subtract 14 from both sides.

6W = 30.

Solve for W.

W = 30/6 = 5.

So, L = 2W + 7 = 2(5) + 7 = 10 + 7 = 17.

L = 17 cm.

W = 5 cm.

Check: 2L + 2W = 44. 

2(5) + 2(17) = 44.

10 + 34 = 44. Yes.

I assume it should be (2/3)x and not 2/(3x).

To make life easier, multiply both sides by 18 to get rid of the 1/18 fraction.

Now, you end up with 18*(1/9) - 18*(2/3)x = 18*(1/18)...

You should be able to solve it from here...

Use the exponential law that says (a^m)ⁿ = a^m*n......so we  have

-(7c^-6)³ =  -7³c^-18 = -343c^-18

An exponent is used to lessen the work of multiplying the same number a specific number of times.

Ex. 5^3 is the same as 5*5*5. It is easier to write out 5^3. 

Ex. 10^1000 would take forever to write out and solve if it weren't for exponents.

-(7c^-6)^3

Evaluate the terms separately:

-(7^3)[(c^-6)^3]

-(343)(c^(-6*3))

-343c^-18

-343/c^18.

It is easier to take the square roots first if you have perfect squares

$$\\(36a^6b^4)^{3/2}\\\\
=36^{3/2}(a^6)^{3/2}(b^4)^{3/2}\\\\
=36^{3/2}\;\;a^{6*3/2}\;\;b^{4*3/2}\\\\
=(36^{1/2})^3\;\;a^{9}\;\;b^{6}\\\\
=(\sqrt{36})^3\;\;a^{9}\;\;b^{6}\\\\
=(6)^3\;\;a^{9}\;\;b^{6}\\\\
=216\;a^{9}\;b^{6}\\\\$$

Thank you.

That is an estimate.  $${\sqrt{{\mathtt{5}}}}$$ is an irrational number.  It cannot be written exactly in digits.

The site calc is on the home page.

Simply multiply 1/4 and 14 together. 

Look through this

Sorry it was a true or false question.

Which number? 

If you have |3|, then the absolute value is just 3.

If you have |-3|, then the absolute value is still 3.

The absolute value basically turns everything into positive terms. Think of it as a negativity reliever. It alleviates the pain of the inside and creates happiness.

Note: for equations like 7 = |4x + 2|:

You get 2 equations. The 1st equation is just 7 = 4x + 2. The 2nd equation is -(4x + 2) = -4x - 2.

Coopaloop your answer is not correct.

I think that this is a much simpler way

$$\\\frac{1}{x}=\frac{5}{6}\\\\
\frac{x}{1}=\frac{6}{5}\qquad \mbox{I just took the reciprocal of both sides}\\\\
x=\frac{6}{5}\\\\
x=1\frac{1}{5}$$

The on site calculator is on the home page.

It is a very simple way to deal with instantaneous rates of change or areas of shapes that are not rectangles or triangles.

Calculus is very powerful and once you can do a bit of it then it is a lot of fun (assuming you have a mathematical nature of course)

Some people may be interested in this web page.

Use the on-site calculator by inputting 3/8.

Do you mean that you have all the angles of a triangle?

You should know that the angle sum of a triangle is 180 degrees so this is what you have

$$x+x-46+\frac{x}{2}=180$$

Now you have to solve the equation.  Can you do that, or at least start it by yourself?

http://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/mixed-numbers-pre-alg/v/proper-and-improper-fractions