#Indicies Question (AS)

38 messages · Page 1 of 1 (latest)

next hazel
upbeat furnace
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🤔

next hazel
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Hold on

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there we go

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because my teacher always told me that with questions like these it's best to split the fractions

upbeat furnace
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Why do you have x^1/2 outside the bracket

next hazel
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I just simplified x^2/4

upbeat furnace
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But the answer has x

next hazel
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oh yh

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Idk how they did that

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do you happen to have an idea?

upbeat furnace
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when they do

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$(x^{\frac{1}{2}})^2$

latent radishBOT
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clarence

next hazel
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how come?

upbeat furnace
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oh wait

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i'm sperging

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it's 1 yeh

upbeat furnace
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and forgot to multiply by 2

next hazel
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multiply what by 2

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the x^1/2

upbeat furnace
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$(x^{\frac{1}{2}})^2$

latent radishBOT
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clarence

upbeat furnace
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so you multiply the power on the inside by the power on the outside

next hazel
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ohhh

upbeat furnace
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and you get 1

next hazel
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but why just that part

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and not the rest of the equation

upbeat furnace
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(xy)^2 = x^2 y^2

next hazel
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but how come multiplying it by 2 places it outside of the bracket?

upbeat furnace
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it's because they've done (x^1/2)^2

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which is x

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and the rest is still squared

next hazel
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oh ok

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that makes sense