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bleuspectre
 one year ago
Simplify (3x^3y^4)^2/(6x^5y^3)(x^3y^2)^4
1/x^7y^3
3/2x^11y^3
3x^11y^3/2
9x^6/y^3
bleuspectre
 one year ago
Simplify (3x^3y^4)^2/(6x^5y^3)(x^3y^2)^4 1/x^7y^3 3/2x^11y^3 3x^11y^3/2 9x^6/y^3

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1familiar with the exponent rules ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright exponent rules \[\huge\rm (ab)^m =a^mb^m\] numbers/variables in the parentheses raised by m power when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\] and when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{mn}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm \frac{ \color{ReD}{(3x^3y^4)^2}}{(6x^5y^3)(x^3y^2)^4}\] start with first exponent rule i posted above

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm {(3x^3y^4)^2} = ??\]

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1Would it be (3x^5y^6)?

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1I'm not good at math :/

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1exponent rules \[\huge\rm (a^1b^1)^m =a^{1 \times m}b^{1 \times m}\] numbers/variables in the parentheses raised by m power according to this rule \[\huge\rm {(3x^3y^4)^2} = 3^3 x^{3 \times2}y^{4 \times3}\] every number/variable in the parentheses raised by 2 power multiply the exponents

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1sorry there is a typo \[\huge\rm {(3x^3y^4)^2} = 3^2 x^{3 \times2}y^{4 \times3}\] 3 to the 2 power not 3

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1the power tells us how many times we should multiply the base 3^2 = 3 times 3

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1ugh typo sorry there is a typo \[\huge\rm {(3x^3y^4)^2} = 3^2 x^{3 \times2}y^{4 \times2}\] 3 to the 2 power not 3 and y^4 times 2 not 3 now simplify that

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1\[(3x ^{3}y ^{4})^{2} = 3^{2}x ^{6}y ^{8}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right what about 3^2 = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right so \[\huge\rm \frac{ \color{ReD}{9x^6y^8}}{(6x^5y^3)(x^3y^2)^4}\] now apply the same exponent rule for (x^3y^2)^4

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1Would i combine them?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1apply the exponent rule just like we did for the numerator

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1Because I got \[x ^{12}y ^{8}\]

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1would I multiply the 4 to the other one too?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1no bec 4 is power of x^3 y^2 so that's it for this part \[\huge\rm \frac{ \color{black}{9x^6y^8}}{(6x^5y^3)x^{12}y^{8}}\] you can remove the parentheses from (6x^5y^3) bec there isn't any exponent outside the parentheses \[\huge\rm \frac{ \color{black}{9x^6y^8}}{6x^5y^3x^{12}y^{8}}\] now apply the 2nd exponent rule ~when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1\[6x ^{17}y ^{11}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1nice \[\huge\rm \frac{ \color{black}{9x^6y^8}}{6x^{17}y^{11}}\] reduce the fraction 9/6 and apply the exponent rule when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{mn}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1hmm top exponent `minus` bottom exxponents so `617` = ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1yes right now we need to change negative to positive exponent \[\huge\rm x^{m}=\frac{ 1 }{ x^m }\] to convert negative to positive exponent u should flip the fraction , when you flip it the sign of the exponent would change

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1Thank you so much!

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1np good work you just need to practice more on this stuff then you will be an expert at exponent rules

bleuspectre
 one year ago
Best ResponseYou've already chosen the best response.1I will keep practicing, thank you again.
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