## nuccioreggie one year ago There are (32)4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish? 38 39 311 324

1. nuccioreggie

@DanJS

2. nuccioreggie

@Michele_Laino

3. Nnesha

use ^ for exponents like 2 to the 3rd power would be 2^3

4. Nnesha

$\huge\rm (3^2)^4 \times 3^0$ like this ?

5. nuccioreggie

6561

6. Nnesha

anything to the zero power equal to one $\huge\rm x^0 =1~~~~(Anything)^0=1$

7. Nnesha

don't use calculator !

8. Nnesha

exponent rule $\huge\rm (x^m)^n = x^{m \times n}$ just multiply the exponents base would stay the same

9. nuccioreggie

I GOT IT ITS a THANKS

10. DanJS

sorry, just saw this ... i can't tell what the question actually is in order to get one of those answers

11. Nnesha

12. nuccioreggie

its A BUT CAN U HELP ME WITH THIS ONE

13. DanJS

oh, haha, right on sorry

14. nuccioreggie

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4? 20 21 22 23

15. DanJS

i tried all power combinations for the expression, but not the answers...

16. DanJS

$\huge\frac{ 2^2 * 2^3 }{ 2^4 }$

17. DanJS

since they all have the same base 2, and multiplied, you can combine that into a single term 2^ (power)

18. DanJS

have to memorize and practice a little the like 4 general power rules...

19. nuccioreggie

SO ITS C?

20. DanJS

http://www.rapidtables.com/math/number/exponent.htm scroll to the table, the first 5 riles is prolly good

21. DanJS

rules

22. DanJS

numerator, multiplying like bases, add the powers together

23. DanJS

2^5 / 2 ^4

24. DanJS

to move the bottom to the top, change the sign on the exponent, then use the addition of powers again

25. Nnesha

$\huge\rm x^m \times x^n=x^{m+n}$ when we multiply same bases we should ADD their exponents and when you divide them you should subtract ther exponents $\huge\rm \frac{ x^m }{ x^n }=x^{m-n}$

26. DanJS

2^5 * 2^(-4)

27. DanJS

= 2 or 2^1

28. DanJS

haha, you have those latex things saved for all the basic things?

29. nuccioreggie

it B

30. nuccioreggie

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1 4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102

31. DanJS

ok, you good on those rules now

32. nuccioreggie

i just need help with couple more lol

33. nuccioreggie

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1 4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102

34. DanJS

i-c