NinjaDevo

If you are multiplying two numbers that have exponets and they have the same base, you can add the exponets. The same base here is 4, so we have:

$$4^3 \times 4^6 = 4^{3+6} = \mathbf{4^9}$$

Looks like you already have the answer.

This is just showing you how to solve it, the actual question is 5 x 41 x 2.

You multiply the first two numbers, then multiply that answer with 2 to get your answer, which is 820.

I'm thinking you want to simplify this.

To simplify square roots, break them down into factors like so:

$$\sqrt{40} = \sqrt{4\times10} = \sqrt{4}\sqrt{10}$$ 

The square root of 4 is 2:

$$2\sqrt{10}$$

And that would be it. You wouldn't break 10 down into 2 and 5, because those numbers aren't "perfect squares." A perfect square means that you can break that number down into two of the same multiples. So, 25 and 100 would be perfect squares becasue 5x5=25 and 10x10=100.

If you have any other questions feel free to ask.

Width times length equals area, (w*l = a)

so that means

Area divided by width equals length (a/w = l)

Divide it out:

So the length of the rectangle is 3x + 2.

That distance/displacement question does looks interesting. 

I understand the steps to solve and the other numbers, but where do you get 0.5 from?

Like this!

Just put the negative exponet in the parentheses.

Try FOILing it!

UPDATE: a little more explanation than CPhill. :)

Great, go find someone who cares.

No offence, but I feel that everyone has the right to believe what they want to believe. No one will EVER be able to prove that god does or does not exsist. Let people believe what they want.

Well, it is possible to get a answer, because you would have

0 = -2n             ---Divide both sides by 2:

0/2 = -2/2n

0/2 = -n        ---0/2 is still 0, if you have 0 candy and you divide it into 2 groups, each group still gets 0 candy!

0 = -n            ---Multiply both sides by a negative:

-0 = -(-n)