## anonymous one year ago @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

1. 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?

2. anonymous

a little bit

3. 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)

4. anonymous

14.14.14 i guess

5. Astrophysics

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

6. anonymous

14*3

7. Astrophysics

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

8. anonymous

can someone help me when youre done here?

9. Astrophysics

Do you mean? $14^3$

10. anonymous

ya i do

11. Astrophysics

Yes, exactly :)

12. anonymous

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

13. Astrophysics

Just follow the order of operations

14. Astrophysics

But it seems you're missing information?

15. Astrophysics

$63 + 5(4 − 2) = 73$

16. anonymous

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

17. Astrophysics

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

18. Astrophysics

What does $6^3$ mean

19. anonymous

6.6.6

20. Astrophysics

Yes, 6 x 6 x 6

21. Astrophysics

What is that?

22. anonymous

216

23. Astrophysics

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

24. anonymous

4-2=2

25. Astrophysics

Good, keep going

26. anonymous

216+5+221

27. anonymous

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

28. Astrophysics

Where did you get 221 from?

29. anonymous

216+5

30. Astrophysics

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

31. Astrophysics

5 x 2 = ?

32. anonymous

10

33. anonymous

226

34. Astrophysics

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

35. Astrophysics

Yes 226 :)

36. anonymous

37. Astrophysics