@astrophysics If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
143
314
14 ⋅ 3
14 ⋅ 14 ⋅ 14

- anonymous

- katieb

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- Astrophysics

This seems fun, ok so you know that \[y^2 = y \times y\]
\[y^5 = y \times y \times y \times y \times y\] right? The exponent just means you multiply it by itself that many times, does that make sense so far?

- anonymous

a little bit

- Astrophysics

Ok, so when we talk about areas we have 2 dimensions that would mean we have something squared, when we talk about volume we have 3 dimensions so we cube it, let me draw what I mean. |dw:1438982740847:dw| so A here represents area and we know to get area of a square we write it as \[a^2 = a \times a~~~~14^2 = 14 \times 14\] now we have a cube and to find it's volume, we deal with 3 dimensions so it looks as such |dw:1438982814212:dw| notice all the dimensions in a cube are the same so we have volume as \[V =a^3\] so what can we conclude our answer to be?
(I know this might be a lot at once, but I hope it helps you understand)

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## More answers

- anonymous

14.14.14 i guess

- Astrophysics

Good we have \[14 \times 14 \times 14\] but your question asks for it in exponential form, so that will be?

- anonymous

14*3

- Astrophysics

Remember that exponents are this little number at the top |dw:1438983046511:dw|

- anonymous

can someone help me when youre done here?

- Astrophysics

Do you mean? \[14^3\]

- anonymous

ya i do

- Astrophysics

Yes, exactly :)

- anonymous

Simplify the expression 63 + 5(4 − 2).
28
36
226
234

- Astrophysics

Just follow the order of operations

- Astrophysics

But it seems you're missing information?

- Astrophysics

\[63 + 5(4 − 2) = 73\]

- anonymous

by the way 63 is 6 powerd by 3 and you have to simplify the answer

- Astrophysics

Ooh! Ok so use what I've told you already, what do you get

- Astrophysics

What does \[6^3 \] mean

- anonymous

6.6.6

- Astrophysics

Yes, 6 x 6 x 6

- Astrophysics

What is that?

- anonymous

216

- Astrophysics

Right, now we have 216+5(4-2) remember your order of operations? Do what's inside the bracket first

- anonymous

4-2=2

- Astrophysics

Good, keep going

- anonymous

216+5+221

- anonymous

i dont know what do do with the answers 221 and 2

- Astrophysics

Where did you get 221 from?

- anonymous

216+5

- Astrophysics

Not quite \[216+5(2)\] this is what we have, 5(2) just means multiply

- Astrophysics

5 x 2 = ?

- anonymous

10

- anonymous

226

- Astrophysics

When you get into higher math, we don't always put the multiplication sign, we just put brackets or a dot

- Astrophysics

Yes 226 :)

- anonymous

that my answer

- Astrophysics

That is the right answer!

- anonymous

5(4x + 2) ÷ 7y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

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