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@dude
@Angle
distribute first?
exponents first
?
no its distribute
(4 x^4 y^3)^2 = 16 x^8 y^6
its distribute
3(4 x^4 y^3)^2 = 3 ( 16 x^8 y^6 ) = 48 x^8 y^6
are you even listening to me
then show me what you mean
distribute first
show me what you mean
\[\frac{ 3(4x^{4}y ^{3})^{2} }{ (5x ^{2}y ^{6})^{3} }\]
\[\frac{ 3(4^{2}x ^{8}y ^{6}) }{ (5^{3}x ^{6}y ^{18}) }\]
^distributed
perfect
then simplified with exponents
\[\frac{ 3(16x ^{8}y ^{6}) }{ 125x ^{6}y ^{18} }\]
you cant simplify 3 and 125
indeed you can't
is that all done now?
variables can reduce
numerator 3*16 can be simplified
48x^8y^6/125x^6y^18
x^8 / x^6 = x^2
?
\(\huge \frac{x^8}{x^6} = \frac{x*x*x*x*x*x*x*x}{x*x*x*x*x*x} = \large x*x = x^2\)
-18 for both exponents in the numerator?
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
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
i meant the y^18 - x^8 and y^6
x^8 - 18 y^6-18
x^-10 y^-12
but the practice problem both had x^18 and y^18
x can only subtract x y can only subtract y
the 18 from the y^18 only subtracts from the y^6 it does not touch the x
so
\[\frac{ 48x ^{2}y ^{-12} }{ 125 }\]
?
awesome
done?
\(\huge \frac{48x^2}{125y^{12}}\) you can write it like this if you want but yes done
yay i can math
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