anonymous
  • anonymous
(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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
My brain is seriously melting at the sight of this problem right now.
Vocaloid
  • 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
Vocaloid
  • Vocaloid
|dw:1444420270923:dw|

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Vocaloid
  • Vocaloid
lets start by using our exponent rules to simplify this part:
Vocaloid
  • Vocaloid
|dw:1444420380950:dw|
Vocaloid
  • Vocaloid
lets cross out 19^0 to make it a bit cleaner
Vocaloid
  • Vocaloid
|dw:1444420411732:dw|
Vocaloid
  • Vocaloid
now, when we have exponents outside the parentheses, we multiply the exponents together and keep the same bases
anonymous
  • anonymous
so 8*3?
anonymous
  • anonymous
((28)(5−5)(190))−12( 5−2 23 )(228) = 367341984631964827648 25 (Decimal: 14693679385278593024)
Vocaloid
  • Vocaloid
|dw:1444420448562:dw| with me so far?
anonymous
  • anonymous
I think XD
Vocaloid
  • Vocaloid
notice how I multiplied these exponents|dw:1444420596004:dw| together?
Vocaloid
  • Vocaloid
8*-12 = -96 -5*(-12) = 60
anonymous
  • anonymous
Ohhhhh now I get it, excuse my dumbness XD
Vocaloid
  • Vocaloid
nah, don't apologize, you're doing fine
Vocaloid
  • Vocaloid
now, since we have 2^(-96) multiplied by 2^28, we can add those exponents together
anonymous
  • anonymous
-68?
Vocaloid
  • Vocaloid
|dw:1444420739885:dw| right
Vocaloid
  • Vocaloid
|dw:1444420757485:dw|
Vocaloid
  • Vocaloid
next, we have 5^60 times 5^-2, we can add those exponents together to get 5^58
Vocaloid
  • Vocaloid
|dw:1444420830436:dw|
anonymous
  • anonymous
subtract -68 and -3 right?
Vocaloid
  • 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)
Vocaloid
  • Vocaloid
yes
Vocaloid
  • Vocaloid
actually, it should be -65, sorry
anonymous
  • anonymous
You went up not down xD
Vocaloid
  • Vocaloid
-68-(-3) = -65
Vocaloid
  • Vocaloid
so that gives us|dw:1444421021693:dw|
Vocaloid
  • Vocaloid
then all we have left to do is rewrite 2^(-65) in the denominator
anonymous
  • anonymous
1/2^65?
Vocaloid
  • Vocaloid
|dw:1444421065946:dw|
anonymous
  • anonymous
Ohhh so that's the final answer?
anonymous
  • anonymous
P.s. when I type a reply and it says I'm still typin' I'm not -_-
anonymous
  • anonymous
Hellooo?
Vocaloid
  • Vocaloid
yes.
anonymous
  • anonymous
And now I shall try to explain the way you did XD

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