Bananas1234
  • Bananas1234
Simplify: -27a^2b^2/9ab
Mathematics
schrodinger
  • schrodinger
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Bananas1234
  • Bananas1234
Bananas1234
  • Bananas1234
Nnesha
  • Nnesha
exponent rules ?

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Nnesha
  • Nnesha
\[\huge\rm \frac{ -27a^2b^2 }{ 9ab }\] \[\large\rm \frac{ x^m }{ x^n } =x^{m-n}\]
Nnesha
  • Nnesha
u add when you multiply *same* bases
Bananas1234
  • Bananas1234
i can't multiply the same bases here can i?
Nnesha
  • Nnesha
nope bec it's a fraction
Bananas1234
  • Bananas1234
ok
Nnesha
  • Nnesha
|dw:1433365972157:dw| move exponent from denominator to de top when you do that signs chane
Nnesha
  • Nnesha
change*
Bananas1234
  • Bananas1234
there is no exponent on the bottom in this one
Nnesha
  • Nnesha
yes there is x^1 <- invisible one
Bananas1234
  • Bananas1234
oh i see
Bananas1234
  • Bananas1234
|dw:1433366232191:dw|
Nnesha
  • Nnesha
yes right
Bananas1234
  • Bananas1234
|dw:1433366280476:dw|
Nnesha
  • Nnesha
yep when u move to the top then there is not b at the denominator \[\huge\rm \frac{ -27a^2b^{2-1} }{ 9a }\]
Nnesha
  • Nnesha
no* b
Bananas1234
  • Bananas1234
oh ok
Nnesha
  • Nnesha
a^2 /a = ?
Bananas1234
  • Bananas1234
not sure
Nnesha
  • Nnesha
why not ?? same like b same rules apply there
Bananas1234
  • Bananas1234
so a^2 divides by 9a?????
Nnesha
  • Nnesha
let's separate them \[\huge\rm \frac{ -27 }{ 9 } \times \frac{ a^2 }{ a } \times \frac{ b^2 }{ b }\] divide -27/9 a^2 can be written as a times a(when you multiply same bases you add their exponent ) let's separate them \[\large\rm \frac{ -27 }{ 9 } \times \frac{ a \times a }{ a } \times \frac{ b^2 }{ b }\] now can you cancels a?
Bananas1234
  • Bananas1234
yes
Nnesha
  • Nnesha
so what's next ? \[\frac{ a \times a }{ a } = ?\]
Bananas1234
  • Bananas1234
a?
Nnesha
  • Nnesha
yep right
Nnesha
  • Nnesha
solve other one and let me know what yo uget :-) -27/9 =? b^2 /b= ?
Bananas1234
  • Bananas1234
-3 and b^3?
Bananas1234
  • Bananas1234
–3ab??????
Bananas1234
  • Bananas1234
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @Bananas1234 –3ab?????? \(\color{blue}{\text{End of Quote}}\) yes right
Bananas1234
  • Bananas1234
Thanks

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