Question

Im trying to solve this problem and my answer keep coming up in decimals. need help
2^6X2^-3/20^10/2-8

Answer 1

\[2^{6}\times2^{-3}\div2^{10}\div2^{-8}\]

Answer 2

don't use calculator. you will not get decimal answer.

Answer 3

I'm not which means I must be doing something wrong

Answer 4

ohh nvm then show your work please
don't even touch the base just move around the exponents

Answer 5

exponent rule you can't have the negative exponent \[x^{-m}=\frac{ 1 }{ x^m }\] flip the fraction to make it positive exponent

Answer 6

\[\huge\rm \frac{ x^{-m} }{ 1 }=\frac{ 1 }{ x^m }\]

Answer 7

are we talking about an imaginary base under the entire problem ? sorry

Answer 8

imaginary base ??? :o

Answer 9

\[\huge\rm \frac{ 2^6 \times 2^{-3} }{ \frac{ 2^{10} }{ 2^{-8}} }\] this is your question right where `2` is the base

Answer 10

NO

Answer 11

refer to the initial post showing the actual problem

Answer 12

\[\huge\rm \frac{\color{reD}{ 2^6 \times 2^{-3}} }{ \frac{ 2^{10} }{ 2^{-8}} }\] solve the red part first
when you `multiply` same bases you should `add` their exponents

Answer 13

okay what about the division ? my results now come back to 1^1

Answer 14

alright \[\rm \color{Red}{2^6 \times 2^{-3} }\div 2^{10} \div 2^{-8}\]

Answer 15

Yes

Answer 16

same thing. :=)
solve the red part first

Answer 17

okay than divide from left to right subtracting the exponents right?

Answer 18

okay so my new answer is 4^{27}

Answer 19

4^27

Answer 20

how did you get 4 ?

Answer 21

there is nothing wrong with decimals

Answer 22

2X2

Answer 23

just play with the exponents don't even touch the base

Answer 24

multiply the same u would add their exponents alright \[\rm \color{Red}{2^{6+(-3)} }\div 2^{10} \div 2^{-8}\] like this

Answer 25

So leave the base and add and subtract the exponents? new answer\[2^{-36}\]

Answer 26

correction sorry wrong numbers

Answer 27

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

Answer 28

2^21 final answer

Answer 29

\[\huge\rm \color{black}{2^{6+(-3)} }\color{red}{\div} 2^{10} \color{red}{\div }2^{-8}\] different rule when you divide same bases \[\rm \frac{ x^m }{ x^n }=x^{m-n}\]

Answer 30

okay so my results should be 2^-15

Answer 31

how did you get -15 ?

Answer 32

okay I first did 6+-3= 3
than I did 10- -8= 18
3-18=-15?

Answer 33

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

Answer 34

\[\huge\rm \frac{ 2^{3+(-10)} }{ 2^{-8}}\] try to solve now!

Answer 35

2^1? final answer,

I did 3+-10= -7
than -7 - -8= 1

2^1

Answer 36

YAYAY!!

Answer 37

Really I though I got it wrong waohh

Answer 38

but how did we went from the original problem to this?

Answer 39

final one?

Answer 40

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

Answer 41

holly cow for some reason I feel lost a bit. questions can you give a practice problem to solve for you.

Answer 42

sure sure \[\huge\rm \frac{\frac{ 3^6 \times 3^7 }{ 3^4} }{ 3^{-5} }\]

Answer 43

give me a sec to resolve thanks

Answer 44

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.

Answer 45

so why we can't leave the negative exponent when it says `simplify`

Answer 46

:=)

Answer 47

actually sometimes we could , depends on the answer choices :P haha

Answer 48

if you need extra help you can use this site
https://mathway.com/

Answer 49

thanks pinkiepug I will

Answer 50

your welcome ^.^

Answer 51

okay here is my answer and problem