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Mathematics 17 Online
Pixel:

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Pixel:

@dude

Pixel:

@Angle

Pixel:

distribute first?

Angle:

exponents first

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?

Pixel:

no its distribute

Angle:

(4 x^4 y^3)^2 = 16 x^8 y^6

Pixel:

its distribute

Angle:

3(4 x^4 y^3)^2 = 3 ( 16 x^8 y^6 ) = 48 x^8 y^6

Pixel:

are you even listening to me

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then show me what you mean

Pixel:

distribute first

Angle:

show me what you mean

Pixel:

\[\frac{ 3(4x^{4}y ^{3})^{2} }{ (5x ^{2}y ^{6})^{3} }\]

Pixel:

\[\frac{ 3(4^{2}x ^{8}y ^{6}) }{ (5^{3}x ^{6}y ^{18}) }\]

Pixel:

^distributed

Angle:

perfect

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then simplified with exponents

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\[\frac{ 3(16x ^{8}y ^{6}) }{ 125x ^{6}y ^{18} }\]

Pixel:

you cant simplify 3 and 125

Angle:

indeed you can't

Pixel:

is that all done now?

Angle:

variables can reduce

Angle:

numerator 3*16 can be simplified

Pixel:

48x^8y^6/125x^6y^18

Angle:

x^8 / x^6 = x^2

Pixel:

?

Angle:

\(\huge \frac{x^8}{x^6} = \frac{x*x*x*x*x*x*x*x}{x*x*x*x*x*x} = \large x*x = x^2\)

Pixel:

-18 for both exponents in the numerator?

Pixel:

that isnt the same way my teacher showed me how to do it her steps were Distribute SImplify find GCF Subtract denominator exponent from numerator exponents DOne

Angle:

yes, I am at the "Subtract denominator exponent from numerator exponents" step for the x variables x^8 minus the x^6 from the denominator gives you x^2

Pixel:

i meant the y^18 - x^8 and y^6

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x^8 - 18 y^6-18

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x^-10 y^-12

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but the practice problem both had x^18 and y^18

Angle:

x can only subtract x y can only subtract y

Angle:

the 18 from the y^18 only subtracts from the y^6 it does not touch the x

Pixel:

so

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\[\frac{ 48x ^{2}y ^{-12} }{ 125 }\]

Pixel:

?

Angle:

awesome

Pixel:

done?

Angle:

\(\huge \frac{48x^2}{125y^{12}}\) you can write it like this if you want but yes done

Pixel:

yay i can math

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