#simplifying

25 messages · Page 1 of 1 (latest)

errant laurel
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How can I evaluate this by hand

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fiery questBOT
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errant laurel
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I don’t get what’s happening in the answers

finite elk
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3/2 is the same as 2/2 + 1/2 right?

finite elk
# errant laurel

so you can rewrite that as $\left(\frac {1}{2}\right)^{\frac{3}{2}}=\frac{1}{2}\times\left(\frac{1}{2}\right)^{\frac{1}{2}}$

heady heathBOT
crisp smelt
heady heathBOT
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pix | #WhatWhereWhenHowIsWolf

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crisp smelt
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= $\frac{1}{\sqrt{2^3}}$

heady heathBOT
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pix | #WhatWhereWhenHowIsWolf

694858627449749565.png
crisp smelt
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= $\frac{1}{\sqrt{8}}$

heady heathBOT
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pix | #WhatWhereWhenHowIsWolf

694858627449749565.png
crisp smelt
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,w 1/sqrt8

heady heathBOT
crisp smelt
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,w 0.5^1.5

heady heathBOT
crisp smelt
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both expressions match each other

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so you can replace the power with $\frac{1}{\sqrt{8}}$ instead

heady heathBOT
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pix | #WhatWhereWhenHowIsWolf

694858627449749565.png
crisp smelt
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then evalute the rest and rationalise the term to make it easier to evaluate the whole equation

finite elk
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hey man we dont use to give solutions while helping

crisp smelt