InspectorJoe
  • InspectorJoe
Im trying to solve this problem and my answer keep coming up in decimals. need help 2^6X2^-3/20^10/2-8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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InspectorJoe
  • InspectorJoe
\[2^{6}\times2^{-3}\div2^{10}\div2^{-8}\]
Nnesha
  • Nnesha
don't use calculator. you will not get decimal answer.
InspectorJoe
  • InspectorJoe
I'm not which means I must be doing something wrong

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More answers

Nnesha
  • Nnesha
ohh nvm then show your work please don't even touch the base just move around the exponents
Nnesha
  • Nnesha
exponent rule you can't have the negative exponent \[x^{-m}=\frac{ 1 }{ x^m }\] flip the fraction to make it positive exponent
Nnesha
  • Nnesha
\[\huge\rm \frac{ x^{-m} }{ 1 }=\frac{ 1 }{ x^m }\]
InspectorJoe
  • InspectorJoe
are we talking about an imaginary base under the entire problem ? sorry
Nnesha
  • Nnesha
imaginary base ??? :o
Nnesha
  • Nnesha
\[\huge\rm \frac{ 2^6 \times 2^{-3} }{ \frac{ 2^{10} }{ 2^{-8}} }\] this is your question right where `2` is the base
InspectorJoe
  • InspectorJoe
NO
InspectorJoe
  • InspectorJoe
refer to the initial post showing the actual problem
Nnesha
  • Nnesha
\[\huge\rm \frac{\color{reD}{ 2^6 \times 2^{-3}} }{ \frac{ 2^{10} }{ 2^{-8}} }\] solve the red part first when you `multiply` same bases you should `add` their exponents
InspectorJoe
  • InspectorJoe
okay what about the division ? my results now come back to 1^1
Nnesha
  • Nnesha
alright \[\rm \color{Red}{2^6 \times 2^{-3} }\div 2^{10} \div 2^{-8}\]
InspectorJoe
  • InspectorJoe
Yes
Nnesha
  • Nnesha
same thing. :=) solve the red part first
InspectorJoe
  • InspectorJoe
okay than divide from left to right subtracting the exponents right?
InspectorJoe
  • InspectorJoe
okay so my new answer is 4^{27}
InspectorJoe
  • InspectorJoe
4^27
Nnesha
  • Nnesha
how did you get 4 ?
zzr0ck3r
  • zzr0ck3r
there is nothing wrong with decimals
InspectorJoe
  • InspectorJoe
2X2
Nnesha
  • Nnesha
just play with the exponents don't even touch the base
Nnesha
  • Nnesha
multiply the same u would add their exponents alright \[\rm \color{Red}{2^{6+(-3)} }\div 2^{10} \div 2^{-8}\] like this
InspectorJoe
  • InspectorJoe
So leave the base and add and subtract the exponents? new answer\[2^{-36}\]
InspectorJoe
  • InspectorJoe
correction sorry wrong numbers
Nnesha
  • Nnesha
no.. i said when you `multiply` the same bases then u should add \[\huge\rm \color{Red}{2^6 \color{blue}{\times }2^{-3} }\div 2^{10} \div 2^{-8}\] here are multiplying 2^6 times 2^{-3 that's why we should add the base
InspectorJoe
  • InspectorJoe
2^21 final answer
Nnesha
  • Nnesha
\[\huge\rm \color{black}{2^{6+(-3)} }\color{red}{\div} 2^{10} \color{red}{\div }2^{-8}\] different rule when you divide same bases \[\rm \frac{ x^m }{ x^n }=x^{m-n}\]
InspectorJoe
  • InspectorJoe
okay so my results should be 2^-15
Nnesha
  • Nnesha
how did you get -15 ?
InspectorJoe
  • InspectorJoe
okay I first did 6+-3= 3 than I did 10- -8= 18 3-18=-15?
Nnesha
  • Nnesha
thanks for showing your work much appreciated ! \[\huge\rm \frac{ \color{ReD}{\frac{ 2^3 }{ 2^{10}}} }{ 2^{-8} }\] first solve the red part we should move the 10 to the top first and then
Nnesha
  • Nnesha
\[\huge\rm \frac{ 2^{3+(-10)} }{ 2^{-8}}\] try to solve now!
InspectorJoe
  • InspectorJoe
2^1? final answer, I did 3+-10= -7 than -7 - -8= 1 2^1
Nnesha
  • Nnesha
YAYAY!!
InspectorJoe
  • InspectorJoe
Really I though I got it wrong waohh
InspectorJoe
  • InspectorJoe
but how did we went from the original problem to this?
InspectorJoe
  • InspectorJoe
final one?
Nnesha
  • Nnesha
we used two exponents rule! \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\] divide same base \[\huge\rm x^m \times x^n = x^{m \times n}\] when you multiply same bsses
InspectorJoe
  • InspectorJoe
holly cow for some reason I feel lost a bit. questions can you give a practice problem to solve for you.
Nnesha
  • Nnesha
sure sure \[\huge\rm \frac{\frac{ 3^6 \times 3^7 }{ 3^4} }{ 3^{-5} }\]
InspectorJoe
  • InspectorJoe
give me a sec to resolve thanks
zzr0ck3r
  • zzr0ck3r
I want to make one thing clear: you are of course allowed to have negative exponents it is just that your teacher wants to make sure you can go back and fourth.
Nnesha
  • Nnesha
so why we can't leave the negative exponent when it says `simplify`
Nnesha
  • Nnesha
:=)
Nnesha
  • Nnesha
actually sometimes we could , depends on the answer choices :P haha
anonymous
  • anonymous
if you need extra help you can use this site https://mathway.com/
InspectorJoe
  • InspectorJoe
thanks pinkiepug I will
anonymous
  • anonymous
your welcome ^.^
InspectorJoe
  • InspectorJoe
okay here is my answer and problem|dw:1440395883759:dw|
Nnesha
  • Nnesha
uh-oh |dw:1440395977961:dw| mistake
InspectorJoe
  • InspectorJoe
? humm
Nnesha
  • Nnesha
|dw:1440396028569:dw| move the 4 to the top when do you that sign would change \[\frac{ x^m }{ x^{n} }=x^{m-n}\]
InspectorJoe
  • InspectorJoe
it should be 13-4 = 9
Nnesha
  • Nnesha
\(\huge\color{green}{\checkmark}\)
InspectorJoe
  • InspectorJoe
than 9- (-5)= 14
InspectorJoe
  • InspectorJoe
final answer 3^14
Nnesha
  • Nnesha
perfect! great job!
Nnesha
  • Nnesha
i'm sooooooooooooooo sleepy gtg bye! good luck!
InspectorJoe
  • InspectorJoe
thank you so much have a good night and week
Nnesha
  • Nnesha
my pleasure /same to u!

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