## anonymous one year ago (2^8 * 5^-5* 19^0)^-12 * (5^-2/ 2^3) * 2^28 Write your answer in simplified form. Show all of your steps I think it's 1 because there's a 0 exponent in there, anyone help?

1. anonymous

My brain is seriously melting at the sight of this problem right now.

2. Vocaloid

not quite. we know that 19^0 = 1 but that's it, we still need to find out what everything else is equal to

3. Vocaloid

|dw:1444420270923:dw|

4. Vocaloid

lets start by using our exponent rules to simplify this part:

5. Vocaloid

|dw:1444420380950:dw|

6. Vocaloid

lets cross out 19^0 to make it a bit cleaner

7. Vocaloid

|dw:1444420411732:dw|

8. Vocaloid

now, when we have exponents outside the parentheses, we multiply the exponents together and keep the same bases

9. anonymous

so 8*3?

10. anonymous

((28)(5−5)(190))−12( 5−2 23 )(228) = 367341984631964827648 25 (Decimal: 14693679385278593024)

11. Vocaloid

|dw:1444420448562:dw| with me so far?

12. anonymous

I think XD

13. Vocaloid

notice how I multiplied these exponents|dw:1444420596004:dw| together?

14. Vocaloid

8*-12 = -96 -5*(-12) = 60

15. anonymous

Ohhhhh now I get it, excuse my dumbness XD

16. Vocaloid

nah, don't apologize, you're doing fine

17. Vocaloid

now, since we have 2^(-96) multiplied by 2^28, we can add those exponents together

18. anonymous

-68?

19. Vocaloid

|dw:1444420739885:dw| right

20. Vocaloid

|dw:1444420757485:dw|

21. Vocaloid

next, we have 5^60 times 5^-2, we can add those exponents together to get 5^58

22. Vocaloid

|dw:1444420830436:dw|

23. anonymous

subtract -68 and -3 right?

24. Vocaloid

last step is to simplify the 2's since we have 2^(-68) divided by 2^(-3), we can subtract those two exponents to get 2^(-71)

25. Vocaloid

yes

26. Vocaloid

actually, it should be -65, sorry

27. anonymous

You went up not down xD

28. Vocaloid

-68-(-3) = -65

29. Vocaloid

so that gives us|dw:1444421021693:dw|

30. Vocaloid

then all we have left to do is rewrite 2^(-65) in the denominator

31. anonymous

1/2^65?

32. Vocaloid

|dw:1444421065946:dw|

33. anonymous

Ohhh so that's the final answer?

34. anonymous

P.s. when I type a reply and it says I'm still typin' I'm not -_-

35. anonymous

Hellooo?

36. Vocaloid

yes.

37. anonymous

And now I shall try to explain the way you did XD